Martedì 15 Gennaio 2025 ore 15.00 Aula di Consiglio (Sala Professori I livello DMA)

Seminario di Analisi

Antonio Iannizzotto (Università di Cagliari)

A DIFFERENT APPROACH TO REGULARITY FOR THE FRACTIONAL p-LAPLACIAN

The fractional p-Laplacian is the model case of divergence-form  nonlinear, nonlocal operators, which have attracted increasing  attention in recent years, especially within the field of regularity  theory. It is well known, since the 2016 work of Di  Castro-Kuusi-Palatucci, that weak solutions of the fractional  p-Laplace equation are locally Hölder continuous. I will present a new  proof of such result, obtained in collaboration with F. Cassanello,  F.G. Düzgün, and V. Vespri, based on the method of positivity  clustering and expansion introduced by DiBenedetto, and discuss some  developments and applications.

Il prossimo incontro del ciclo dei “Seminari di Analisi junior” si terrà venerdì 17 gennaio 2025 alle ore 15.00, nella Sala Riunioni 1° Livello. Di seguito, riportiamo i nomi dei due speaker e gli abstract dei loro talk.

Ilenia Di Giorgio :  Normalized NLS ground states on a double plane hybrid
Abstract:  In this talk, I will present a novel model of a quantum hybrid, consisting of two planes interconnected at a single point. We explore the existence and characteristics of normalized ground states within a nonlinear Schrödinger equation, specifically focusing on how these states are influenced by key model parameters. Additionally, we will analyze the distribution of mass across the two planes and examine variations in the strengths of the logarithmic singularities on each plane, as influenced by changes in the matching condition parameters and the powers of the nonlinear terms.

Salvatore Niro:  Approximation of nonlinear Dirac dynamics
Abstract: We consider the nonlinear Dirac equations in one dimension and review various results on global existence of solutions in Sobolev space. Then we define and study the Cauchy problem for a nonlinear Dirac equation with nonlinearities concentrated at one point and its approximations by means of scaled regular potentials. We see in which sense the full dynamics is recovered in the short-range limit and we discuss some characteristic features of the relativistic interactions.

Lunedì 27 gennaio alle ore 10.30 nella sala riunioni secondo livello del DMA, la Prof.ssa Eveline Volcke, Ghent University, terrà un seminario dal titolo:

Title: Modelling biofilm reactors for wastewater treatment: what’s the use?

Abstract: Wastewater treatment is essential to protect human health and the environment. Organic carbon, nitrogen and phosphorus need to be removed to ensure that the clean water quality complies with the EU regulations. Moreover, additional objectives dealing with the sustainability of wastewater treatment are gaining importance, aiming for compact processes, reductions in the amount of energy used, the resources or added chemicals, and minimizing by-products and emissions of greenhouse gases, among others. Biofilm-based processes are compact and very suitable to grow slow-growing micro-organisms which form the basis of novel biological pathways with promising characteristics.
Granular sludge reactors can be seen as a particular type of biofilm reactors, without carrier material.

In this presentation, Eveline Volcke will share some of her experiences with anammox-based granular sludge reactors as well as aerobic granular sludge reactors. More specifically, she will discuss the usefulness of mathematical modelling and simulation to gain process insight, for process optimization, to test the feasibility of new processes, regarding greenhouse gas emissions and to investigate novel plant layouts.

Gli interessati sono invitati a partecipare.

il giorno 29 gennaio alle ore 15 nella sala Riunioni al I livello del Dipartimento di Matematica e Applicazioni, il prof. Marco Andretta dell’Università di Trento terrà un seminario dal titolo:
“Classificazione delle varietà proiettive”.

Il seminario sarà inteso come un colloquium rivolto a tutti i membri del dipartimento.

Relatore: Marco Andreatta
(Professore di Geometria all’Università di Trento, Direttore del Centro Internazionale Ricerche Matematiche di Trento, Presidente Unione Matematica Italiana. Studia le Varietà Algebriche Proiettive, costruendone nuove e classificandole opportunamente. I temi di ricerca hanno radici classiche e sono oggi fondamentali in Matematica e in molte sue applicazioni. Recentemente ha cercato di illustrare ad un pubblico più vasto come la Geometria sia lo strumento per comprendere lo spazio che abitiamo, con un approccio scientifico ma anche storico e
filosofico.)

Sunto: Scopo della Geometria è costruire, studiare e classificare le diverse forme dello Spazio (Varietà) e degli oggetti in esso contenuti (Sottovarietà). Da F. Klein in poi questa attività viene spesso delineata attraverso un “Programma”, che consiste tra l’altro della scelta di un metodo e dei suoi strumenti. Negli ultimi 40 anni lo studio delle Varietà Proiettive ha avuto un enorme sviluppo. Ispirato da classici risultati sulle superfici proiettive della scuola italiana, il “Programma dei Modelli Minimali”, proposto da S. Mori, si è imposto con risultati stupefacenti; ne descriverò alcuni.

Maria De Falco e Carmen Musella

Il prossimo 30 gennaio ci sarà una giornata dedicata a Francesco de
Giovanni, nella quale si svolgeranno dei seminari di Teoria dei Gruppi
(per noi il modo migliore di onorare la memoria di Francesco è coltivare
la disciplina che è stato il centro di tutta la sua attività
scientifica) e dei momenti di ricordi e condivisione, a distanza di un
anno dalla sua prematura scomparsa, che ci ha lasciato sgomenti e
attoniti al punto da non riuscire, fino ad ora, a creare l’occasione di
un momento di raccoglimento della nostra comunità.
Vi inviamo in allegato la locandina di “Una giornata di Teoria dei
gruppi – in ricordo di Francesco de Giovanni”, alla quale vi invitiamo
caldamente a partecipare.

Gli organizzatori
Mattia Brescia
Maria De Falco
Maria Ferrara
Carmen Musella
Alessio Russo
Marco Trombetti

Il prossimo incontro del ciclo dei “Seminari di Analisi junior” si terrà venerdì 31 gennaio 2025 alle ore 15.00, nella Sala Riunioni Primo Livello (SR1). Di seguito titoli e abstract.

Luca Barbato: Rigidity and stability results for Torsion functional in the class of multiply connected sets

Abstract: A classical result in Shape Optimization deals with the maximization of the torsional rigidity among the open sets of prescribed measure. Latter the problem was also addressed in the class of multiply connected domains by Pólya, Weinstein (in the plane) and Buonocore (in every dimension). Using symmetrization techniques they proved that the maximizers is the spherical shell, regardless of the number of holes. In this talk I will present a rigidity result in every dimension and a stability result for the planar case, in which the aim is to add an asymmetry index which controls the distance from being an annulus. The key idea of the proof is to use a weighted version of the Brothers and Ziemer theorem for the rigidity part and some suitable propagation of the Fraenkel asymmetry to estimate the distance of a set from the optimal one.

Giuliana Fusco: Variational analysis of discrete Dirichlet problems on periodically perforated domains

Abstract: In this talk we discuss the asymptotic behavior of a family of discrete functionals as the lattice size, ε > 0, tends to zero. We consider pairwise interaction energies defined on discrete functions subjected to Dirichlet conditions on a periodic array of small hypercubes. Our analysis is performed in the framework of  Γ-convergence and we prove that, in the regime where ε vanishes faster then the side of the hypercubes, the effect of the constraints leads to a capacitary term in the limit energy as in the classical theory of periodically perforated domains for local integral functionals. A crucial role in our analysis turns out to be a discrete version of the Gagliardo-Nirenberg-Sobolev inequality, strongly inspired to its non local variant.

On wednesday – 12 february – room 3 – SSM, san Marcellino
15.30-16.15: prof. K. Grabowska (Univ. Varsavia)
“Dirac algebroids in Hamiltonian and Lagrangian dynamics – theory and
examples”

Dirac algebroid is a linear Dirac structure defined on the dual of a
vector bundle. We propose the construction of a Dirac algebroid associated
to constraints and use it as a tool for generating the dynamics from
Lagrangian and Hamiltonian. This tructure is very general.
It allows for all types of generating functions, including these with
magnetic-like terms as well as singular.

16.15-16.30 break

16.30-17.15: prof. J. Grabowski (IMPAN – Varsavia)
“Tulczyjew triples and quantum dynamics”

We develop a geometric approach to quantum mechanics based on the concept
of the Tulczyjew triple known from classical mechanics. Our approach is
genuinely infinite-dimensional and includes a Lagrangian formalism in which
self-adjoint operators are viewed as Lagrangian submanifolds associated with
the Lagrangian.

Il prossimo incontro del ciclo dei “Seminari di Analisi junior” si terrà lunedì 17 febbraio 2025 alle ore 15.00, nella Sala Riunioni Primo Livello (SR1). Di seguito titoli e abstract.

Antonia Diana: Length–penalized elastic flow of curves with partial free boundary

Abstract: Geometric gradient flows for elastic energies play an important role in mathematics and in many applications.
In this talk we consider a curve with boundary points free to move on a line in R^2, which evolves by the L^2-gradient flow of the elastic energy, that is a linear combination of the Willmore and the length functional.
For such planar evolution problem we study the short and long–time existence.
Once we establish the well-posedness in the case of Navier boundary conditions, employing the Solonnikov theory for linear parabolic systems in Hölder space, we show that there exists a unique flow in a maximal time interval [0,T) and it is unique in a purely geometric sense. Finally, using energy methods we prove that maximal time is actually T=+∞.

Domenico Vuono: Second and third order estimates for solutions to $p$-Laplace equations.

AVVISO DI SEMINARIO

Il giorno Giovedì 20 Febbraio 2025, alle ore 15:00 nell’Aula Professori al I Livello del DMA, il Prof. Daniel Hauer della Brandenburg University of Technology Cottbus-Senftenberg (BTU) terrà il seguente seminario:

“L^1-L^∞ regularising effect of nonlinear semigroups via nonlinear interpolation”

Il giorno giovedì 27 febbraio 2025 alle ore 15.00 nella Sala Riunioni Primo Livello (SR1) del DMA, il professore Idriss Mazari-Fouquer dell’Università Paris Dauphine di Parigi, terrà un seminario dal titolo:

il prossimo incontro del ciclo dei “Seminari di Analisi junior” si terrà lunedì 10 marzo 2025 alle ore 15.00, nella Sala Riunioni Primo Livello (SR1). Di seguito titoli e abstract.

Speaker: Paolo Cosentino, Postdoc presso Università degli Studi di Roma Tor Vergata

Titolo: A Harnack type inequality for singular Liouville type equations

Abstract: We are concerned with a generalization to the singular case of a result of C.C. Chen e C.S. Lin [Comm. An. Geom. 1998] for Liouville-type equations with rough potentials. The singular problem is actually more delicate and results in a nontrivial variation of the regular case. Part of the arguments of Chen-Lin can be adapted to the singular case by means of an isoperimetric inequality for surfaces with conical singularities. The rest of the proof actually requires a different approach, due to the loss of translation invariance of the problem.

Speaker: Giuseppe La Scala, Studente di Dottorato presso Università degli Studi di Napoli Federico II

Titolo: Rotating wave solutions in pure capillary drop equations.

Nell’ambito delle attività del progetto EBRAINS-Italy, il giorno 26 marzo dalle ore 15:00 alle ore

16:00, nell’Aula Professori II Livello, la dott.ssa Annalisa Iuorio, dell’Università degli Studi di

Napoli Parthenope, terrà il seminario:

Travelling pulses of vegetation driven by autotoxicity effects

I proponenti

A. Marasco, M. Menale

Il giorno giovedì 3 aprile 2025 alle ore 15:00 presso la Sala Riunioni del I livello del Dipartimento di Matematica e Applicazioni “R.

Caccioppoli”, il professor Massimiliano Sala (Università di Trento e De Cifris) terrà un seminario dal titolo:

” Cercare la chiave che non esiste: NP, coNP e crittografia “.

A seguire, alle ore 15:30, il prof. Augustine Musukwa (Università di Trento e Mzuzu University) terrà un seminario dal titolo:

“Some results on cubic Boolean functions and their derivatives”.

Avviso di Seminario

Lunedì 7 Aprile 2025 alle ore 15 presso la Sala Riunioni del I livello del Dipartimento di Matematica e Applicazioni “R. Caccioppoli”,

il Prof. A. Giuliani (Università degli Studi Roma Tre) terrà un seminario dal titolo “Periodic striped states in Ising models with polynomial interactions”

Abstract
I will discuss the problem of determining the ground states of 2D Ising models with nearest neighbor ferromagnetic (FM) and polynomially decaying anti-ferromagnetic (AFM) interactions and review known results, including the proof of existence of periodic striped minimizers in the presence of AFM polynomial interactions 1/(dist)p, with p larger than 4 − ϵ. In the dipolar case, p = 3, I will discuss the proof that, in the variational class of states whose domain walls are arbitrary collections of horizontal and/or vertical straight lines, the minimizers are periodic and striped.
Based on joint works with Davide Fermi, Joel Lebowitz, Elliott Lieb, Robert Seiringer.

 presso la Sala Riunioni del I livello del Dipartimento di Matematica e Applicazioni “R.

Caccioppoli”, il professor Massimiliano Sala (Università di Trento e De Cifris) terrà un seminario dal titolo:

” Cercare la chiave che non esiste: NP, coNP e crittografia “.

A seguire, alle ore 15:30, il prof. Augustine Musukwa (Università di Trento e Mzuzu University) terrà un seminario dal titolo:

“Some results on cubic Boolean functions and their derivatives”.

Giacomo Canevari (Verona) – Seminario di Analisi

Martedì, 8 aprile⋅16:00 – 17:00

Sala Professori I livello

A free-discontinuity problem for smectic liquid crystals

Smectic liquid crystals are a phase of matter in which the constituent molecules tend to align locally parallel to one another and to arrange themselves in layers. Experimental evidence shows that the configuration of the layers in smectic films may be complex, possibly with defects – that is, localised regions of sharp change in the orientation of the layers. Defects may occur at isolated points, along lines, or surfaces. In this talk, we discuss a free-discontinuity variational problem for smectic A liquid crystals in two dimensions. We focus on a specific form of the energy functional, which penalises dislocations of the layers along the defects and is lower semicontinuous so that minimisers exist. The talk is based on joint work with John M. Ball (Heriot-Watt University, Edinburgh and Hong Kong Institute of Advanced Studies) and Bianca Stroffolini (Università Federico II, Napoli).

Avviso di Seminario

mercoledì 30 aprile, alle 14:30 in Aula Professori I livello, si svolgerà un seminario del Prof. Daniele Faenzi (Institut de Mathématiques de Bourgogne). Titolo e sunto sono i seguenti:

Titolo. Derivazioni logaritmiche lungo divisori discriminanti.

Sunto. Il fascio delle derivazioni logaritmiche tangenti a un divisore è utile nello studio delle singolarità, particolarmente per configurazioni di iperpiani con molte simmetrie.
Ne esamineremo alcune proprietà come la libertà e la stabilità, poi il legame con la dualità proiettiva. Ci concentreremo sullo studio di questo fascio nel caso di divisori invarianti sotto l’azione di un gruppo di Lie, in particolare discriminanti di alcune classi di rappresentazioni, partendo dalla rappresentazione aggiunta di un gruppo di Lie semplice fino alle rappresentazioni polari stabili e ai theta-gruppi.
Progetto in collaborazione con Vladimiro Benedetti, Simone Marchesi, Masahiko Yoshinaga.

mercoledì 30 aprile, alle 14:30 in Aula Professori I livello, si svolgerà un seminario del Prof. Daniele Faenzi (Institut de Mathématiques de Bourgogne). Titolo e sunto sono i seguenti:

Titolo. Derivazioni logaritmiche lungo divisori discriminanti.

Sunto. Il fascio delle derivazioni logaritmiche tangenti a un divisore è utile nello studio delle singolarità, particolarmente per configurazioni di iperpiani con molte simmetrie.
Ne esamineremo alcune proprietà come la libertà e la stabilità, poi il legame con la dualità proiettiva. Ci concentreremo sullo studio di questo fascio nel caso di divisori invarianti sotto l’azione di un gruppo di Lie, in particolare discriminanti di alcune classi di rappresentazioni, partendo dalla rappresentazione aggiunta di un gruppo di Lie semplice fino alle rappresentazioni polari stabili e ai theta-gruppi.
Progetto in collaborazione con Vladimiro Benedetti, Simone Marchesi, Masahiko Yoshinaga.

AVVISO di SEMINARIO

Dipartimento di Matematica e Applicazioni “R. Caccioppoli”

Università degli Studi di Napoli Federico II

Il giorno 13 maggio 2025, alle ore 11:30, in SP2L, aula S. Rionero, del Dipartimento di Matematica e Applicazioni R. Caccioppoli, il Prof. Kei Kobayashi, Department of Mathematics, Fordham University, terrà il seguente seminario:

“Numerical approximation of stochastic differential equations modeling subdiffusion”

Abstract: Standard Brownian motion composed with a random time change given by an inverse subordinator has been used to model subdiffusions, where particles spread more slowly than the classical Brownian particles. The time-changed Brownian motion is neither Markovian nor Gaussian, and standard procedures known for normal diffusions do not generally work. This talk gives an overview of the framework of numerical approximation schemes for the time-changed Brownian motion and its associated stochastic differential equations, along with the rates of convergence. This is based on joint work with Sixian Jin and Ernest Jum.

The purpose of this workshop is to explore recent trends and directions in the area of time discretization for the solution of evolutionary partial differential equations with particular application to high-order methods for hyperbolic systems with source and advection-diffusion-reaction equations. Special emphasis will be put on efficient time-stepping methods such as implicit- explicit (IMEX), semi-implicit, strong stability preserving (SSP) and asymptotic preserving time discretizations.

https://www.dma.unina.it/pdetd25

Avviso di Seminario

Ciliberto 2025_conference_flyer

Avviso di Seminario

Avviso di Seminario
Nell’ambito delle attività del progetto EBRAINS-Italy, il giorno lunedì 20 maggio dalle ore 15:00 alle ore 16:00, nell’aula Professori II livello, la dott.ssa Simona Olmi dell’Istituto dei Sistemi Complessi – Consiglio Nazionale delle Ricerche, terrà il seminario:
Relaxation oscillations in next-generation neural masses
with spike-frequency adaptation
Abstract: Spike-frequency adaptation (SFA) is a fundamental neuronal mechanism taking into account the fatigue due to spike emissions and the consequent reduction of the firing activity. We have studied the effect of this adaptation mechanism on the macroscopic dynamics of excitatory and inhibitory networks of quadratic integrate-and-fire neurons coupled via exponentially decaying post-synaptic potentials. In particular, we have studied the population activities by employing an exact mean-field reduction, which gives rise to next-generation neural mass models. This low-dimensional reduction allows for the derivation of bifurcation diagrams and the identification of the possible macroscopic regimes emerging both in a single and in two identically coupled neural masses. In single populations SFA favors the emergence of population bursts in excitatory networks, while it hinders tonic population spiking for inhibitory ones. The symmetric coupling of two neural masses, in absence of adaptation, leads to the emergence of macroscopic solutions with broken symmetry, namely, chimera-like solutions in the inhibitory case and antiphase population spikes in the excitatory one. The addition of SFA leads to new collective dynamical regimes exhibiting cross-frequency coupling among the fast synaptic timescale and the slow adaptation one, ranging from antiphase slow-fast nested oscillations to symmetric and asymmetric bursting phenomena. In a PING configuration, where SFA affects the excitatory population only, it is possible to observe the emergence of relaxation oscillations due to the interplay between the nonlinear dynamics of the firing rate and the self-inhibition modulated by SFA. A characterization of Up and Down states, together with that of the spike adding process, is provided in the PING configuration for different parameters.

Seminario_Olmi

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SEMINARIO di ANALISI MATEMATICA
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Il giorno Martedì 20 Maggio 2025, alle ore 15:00 nell’ Aula Professori al I Livello del DMA, la Dottoressa Emanuela Radici dell’ Università dell’ Aquila, terrà il seguente seminario:

“Entropy solutions of scalar nonlocal conservation laws with congestion”

In this talk we consider a class of scalar nonlinear models describing crowd dynamics. The congestion term appears in the transport equation in the form of a compactly supported nonlinear mobility function, thus making standard weak-type compactness arguments and uniqueness of weak solutions fail. We introduce two different approaches to the problem and discuss their connections with the wellposedness of entropy solutions of the target pde in the sense of Kruˇzkov. A deterministic particle ap­proach relying on suitable generalisations of the Follow-the-leader scheme, which can be interpreted as the Lagrangian discretisations of the problem; and a variational approach in the spirit of a minimising movement scheme exploiting the gradient flow structure of the evolution in a suitable metric framework.

AVVISO di WORKSHOP

Dipartimento di Matematica e Applicazioni “R. Caccioppoli”

Università degli Studi di Napoli Federico II

Il giorno 20 maggio 2025, alle ore 15:30, in aula T09 del complesso universitario di M. S. Angelo, il prof. Alessandro Ramploud, dell’Università di Bergamo, e la prof.ssa Silvia Funghi, dell’Università di Genova, terranno un workshop dal titolo

Ripensare il soggetto in didattica della matematica: un approccio psicoanalitico

Abstract: A partire dalla critica alla presunta neutralità culturale della matematica (Barton, 2007; Bishop, 1991), verrà proposta una riflessione sulla sua natura come costruzione culturale e sociale, mettendo in discussione la prospettiva etica della matematica e delle pratiche educative ad essa associate nel contesto occidentale (D’Ambrosio, 2001; Skovsmose, 1994). Questa prospettiva solleva interrogativi sulle finalità dell’insegnamento della matematica all’interno di sistemi educativi (scolastici e accademici) inseriti in contesti capitalistici e neoliberali (Robinson & Aronowitz, 2009), dove l’apprendimento della matematica viene spesso ridotto alla sua funzione strumentale nel mondo del lavoro. In particolare, si esaminerà come ridurre l’insegnamento e l’apprendimento della matematica a una semplice trasmissione di un sapere fisso – fatto di assiomi, teoremi, dimostrazioni e procedure – accompagnata da pratiche di demonizzazione dell’errore, ostacoli l’autonomia degli studenti e limiti il potenziale formativo dell’esperienza matematica.

Attraverso una lettura lacaniana rielaborata da Brown (2020), il workshop proporrà una prospettiva di superamento della concezione tradizionale (predominante) dei rapporti di insegnamento-apprendimento della matematica ripensando le pratiche educative in matematica come spazi di co-costruzione della soggettività, in contrapposizione ai modelli normativi e funzionalisti dell’apprendimento (Ramploud, Funghi & Mellone, in corso di stampa).

Locandina

Riferimenti

Badiou, A. (2019). Logics of the Worlds: Being and Event II. Bloomsbury Publishing.

Barton, B. (2007). The language of mathematics: Telling mathematical tales (Vol. 44). Springer Science & Business Media.

Bishop, A. (1991). Mathematical enculturation: A cultural perspective on mathematics education (Vol. 6). Springer Science & Business Media.

Brown, T. (2020). A contemporary theory of research on mathematics education. Switzerland: Springer Nature.

Robinson, K., & Aronica, L. (2009). The element: How finding your passion changes everything. Penguin. 

D’Ambrosio, U. (2001). Ethnomathematics: Link between Traditions and Modernity. Sense Publishers.

Ramploud, A., Funghi, S., & Mellone, M. (in corso di stampa). Psychoanalytic Approach To Subject In Mathematics Education: Reflections On Educational Relationships. Proceedings of the 15th International Congress of Mathematics Education (Sydney, 7-14 Luglio 2024).

Skovsmose, O. (1994). Towards a critical mathematics education. Educational Studies in Mathematics, 27(1), 35–57.

Miniworkshop: Recent developments in the model theory of fields

Part of the INdAM period Model theory of tame expansions of topological fields

Naples, 21 – 23 May 2025

Department of Mathematics and Applications Renato Caccioppoli
University of Naples Federico II

Roberta Marziani (Siena)

Mercoledì, 28 maggio⋅15:00 – 16:00

Sala Professori I livello

Titolo: Gamma-convergence for plane to wrinkles transition region Abstract: Motivated by physical experiments, we consider a variational problem modelling wrinkling effect of a thin annular sheet radially stretched. We start with a brief introduction on elasticity theory for thin films. We then settle a model for an annular domain radially stretched and describe an energy scaling result for low energy wrinkle patterns [Bella-Kohn 2014]. Afterwards, to better characterize the wrinkle pattern, in particular to describe the transition  between flat and wrinkled regions we set up a toy problem and perform an asymptotic analysis, via Gamma-concergence, as the sheet thickness goes to 0.  The limiting problem is scalar and convex, but constrained and posed for measures. The latter are in some sense related to Fourier coefficients of the vertical displacement of the elastic deformation.  Eventually for the limiting problem we show existence of a minimizer and equipartition of the energy for each frequency. This is based on a joint work with Peter Bella (TU Dortmund).

Avviso di Seminario

il prossimo incontro del ciclo dei “Seminari di Analisi junior” si terrà martedì 3 giugno 2025 alle ore 15.00, nella Sala Riunioni 1° Livello (SR1). Di seguito titoli e abstract.

Speaker: Filippo Cassanello, Dottorando presso Università degli Studi di Cagliari

Titolo: Integral Harnack estimates for the singular evolutive fractional p-Laplacian

Abstract: The Fractional p-Laplacian Is the model case for nonlinear, non local operators. In this seminar i will present several Integral Harnack-type inequality for the solution of parabolics equation with this operator, including L^1-L^inf estimates. The importance of recovering such Integral inequalities is due to the fact that, following the methods of Di benedetto, Gianazza and Vespri, a correct chaining of these estimates leads to a full parabolic Harnack inequality. This results have bene obtained with professors S.Ciani (UniBo) and A.Iannizzotto (UniCa).

Seminario di PDE

Lunedì 9 giugno 2025 alle ore 15:00 nella Sala Riunioni I livello del DMA

il professor Riccardo Montalto
(Università di Milano)

terrà il seguente seminario:

Titolo: Small and large amplitude quasi-periodic waves in Fluid Mechanics.

Abstract:
In this talk I shall discuss some recent results about the construction of small and large amplitude quasi-periodic waves in Euler equations and other hydro-dynamical models in dimension greater or equal than two. I shall discuss quasi-peridic solutions and vanishing viscosity limit for forced Euler and Navier-Stokes equations and the problem of constructing quasi-periodic traveling waves bifurcating from Couette flow (and connections with inviscid damping).  I also discuss some results concerning the construction of large amplitude quasi-periodic waves in rotating fluids. The techniques are of several kinds: Nash-Moser iterations, micro-local analysis, analysis of resonances in higher dimension, normal form constructions in high dimension and spectral theory.

Il giorno 11 giugno 2025, alle ore 14:30 presso la sala professori I livello

del Dipartimento di Matematica e Applicazioni R. Caccioppoli,

la Prof.ssa Renata Bunoiu,

(University of Lorraine, Metz, France)

terrà il seminario dal titolo:

“Homogenization of Maxwell’s equations and related scalar problems with sign-changing coefficients”

Seminario_Bunoi_2025

Il giorno 11 giugno 2025, alle ore 15:30 presso la sala professori I livello

del Dipartimento di Matematica e Applicazioni R. Caccioppoli, il

Prof. Michel Chipot

(University of Zurich)

terrà il seminario dal titolo: “Uniqueness results for operators with a p-Laplacian structure”

Seminario_Chipot_2025

il giorno VENERDI’ 13 alle ore 11.45 in sala professori  livello 1 (SP1L),
subito dopo il seminario del periodo intensivo INDAM (e un caffè)
nell’ambito del programma ERASMUS di scambio docenti  la collega

terrà un seminario introduttivo al quale siete tutti invitati.
Title:

Abstract: This talk will begin with a brief introduction to algebraic groups, with a particular emphasis on reductive algebraic groups. For a reductive group G and a finitely generated group Γ, I will introduce the (moduli) spaces of representations of Γ into G, known as G-character varieties.
These spaces are central objects in modern mathematics, with deep connections to hyperbolic geometry, the theory of vector bundles and connections, knot theory, and quantum field theory.

Martedì, 24 Giugno ⋅ Sala Professori I livello ore 15:00

Fabrice Bethuel (Sorbona) – Seminario di Analisi

“Singular harmonic maps into singular manifolds ”

The purpose of the talk is to present a few problems and some results concerning the existence and properties of maps from a punctured plane with values in a one-dimensional singular manifold. A typical example is given by the  « eight-shaped » manifold, which will be central in the talk. I will present  some new results obtained in the thesis of Mehdi Trense, in particular how they convert  the problems to  questions  on Riemann surfaces.

Nell’ambito del periodo intensivo INDAM “Model theory of tame expansions of topological fields – Naples”  nell’Aula E III livello si terrà il seminario:

Venerdì 4 luglio Aula E (Terzo livello)
Ore 11:00 Vincenzo Mantova (Università di Leeds)
Titolo: Some basic complex analysis beyond the Existential Closedness problem

SeminariIndam

Nell’ambito del periodo intensivo INDAM “Model theory of tame expansions of topological fields – Naples”  nell’Aula F III livello si terrà ilI seminario:

Martedì 1° luglio Aula F (Terzo livello) Ore 11:00 Vincenzo Mantova (Università di Leeds)

Titolo: Transseries for dummies

SeminariIndam

Seminario di Didattica della Matematica
4 Giugno  2025 –  ore 14:00
Aula T05 – Complesso Universitario di M.S. Angelo Università degli Studi di Napoli Federico II Nell’ambito del corso “Matematiche complementari”

Titotlo: William Rowan Hamilton e la teoria dei quaternioni Dott. Alessandro Amabile Dipartimento di Fisica “E. Pancini”, Università degli Studi di Napoli Federico II

Abstract. Il mio intervento sarà dedicato a William Rowan Hamilton, matematico e astronomo reale d’Irlanda dal 1827 al 1865. Dopo una breve descrizione della vita di Hamilton e della sua filosofia della matematica, mi concentrerò sull’invenzione dei quaternioni, considerati dallo stesso Hamilton come il più importante tra i suoi risultati matematici. In particolare, illustrerò come, sebbene i quaternioni siano spesso ricordati come la prima algebra non commutativa, essi avessero in origine un significato eminentemente geometrico, rappresentando per Hamilton un tentativo di rianimare l’antica visione pitagorica della fusione tra forme e numeri. Accennerò inoltre alla prima applicazione dei quaternioni a un problema fisico, che portò Hamilton a scoprire una nuova caratterizzazione della legge di gravitazione universale detta legge dell’odografa circolare.

Bibliografia

1.        Derbes, D. (2001). “Reinventing the wheel: Hodographic
solutions to the Kepler problems”. In: American Journal of Physics 69 (4), pp. 481–489.
2.        Dubbey, J. M. (1963). “The Introduction of Differential
Notation into Great Britain”. In: Annals of Science 19, pp. 35–48.
3.        Eades, J. B. (1968). “Orbit Informations Derived from its
Hodograph”. In: url: https://ntrs.nasa.gov/search.jsp?R=19680023730.
4.        Goodstein, D. and J. Goodstein (1997). Feyman’s Lost Lecture.
The motion of the Planets around the Sun. Vintage Books.
5.        Graves, R. P. (1882). Life of Sir W. R. Hamilton. Vol. 1.
—       (1885). Life of Sir W. R. Hamilton. Vol. 2.
—       (1889). Life of Sir W. R. Hamilton. Vol. 3.
6.        Hamilton, W. R. (1837). “On Algebraic Couples, with a
preliminary and elementary essay on Algebra as the Science of Pure Time”. In: Transactions of the Royal Irish Academy 17, pp. 293–422.
—       (1843) “On a new species of imaginary quantities, connected with
the Theory of Quaternions”. In: Proceedings of the Royal Irish Academy.
Vol. 2, pp. 424–434.
—        (1847b). “The Hodograph, or a new method for expressing in
symbolical language the Newtonian law of attraction”. In: Proceedings of the Royal Irish Academy. Vol. 3, pp. 344–353.
—       (1853). Lectures on Quaternions. Dublin: Hodges and Smith.
7.        Hankins, T. (1980). Sir William Rowan Hamilton. The John
Hopkins University Press.
8.        Kendall, P. and P. G. Tait (1873). Introduction to
Quaternions. London: Macmillan and Co.
9.        May, K. O. (1966). “The Impossibility of a Division Algebra of
Vectors in Three Dimensional Space”. In: American Mathematical Monthly 73.3, pp. 289–291.
10.   Pritchard, C. (1998a). “Flaming Swords and Hermaphrodite Monsters
– Peter Guthrie Tait and the Promotion of Quaternions, Part II”. In: The Mathematical Gazette 82 (494), pp. 235–241.
—        (1998b). “Tendril of the Hop and Tendril of the Vine: Peter
Guthrie Tait and the Promotion of Quaternions, Part I”. In: The Mathematical Gazette 82 (493), pp. 26–36.
11.   Tait, P. G. (1880). “Hamilton”. In: Encyclopedia Britannica.
—        (1886). “Quaternions”. In: Encyclopedia Britannica.
—       (1890). Elementary Treatise on Quaternions. 3rd edition.
Cambridge University Press.
—       (1900a). Scientific Papers, Vol. 1. Vol. 1. Cambridge University
Press.
—       (1900b). Scientific Papers, Vol. 2. Vol. 2. Cambridge University
Press.
12.  Whittaker, E. T. (1944). “The Sequence of Ideas in the Discovery of Quaternions”. In: Proceedings of the Royal Irish Academy. Section A:
Mathematical and Physical Sciences, vol. 50. Royal Irish Academy, pp.
93–98.

Il giorno Martedì 22 Luglio 2025 alle ore 14:30 presso la Sala Riunioni del I livello del Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, la Dott.ssa Sanja Stevanovic (Mathematical Institute – Serbian Academy of Sciences and Arts) terrà un seminario dal titolo:

“PARALLEL MONTE CARLO-BASED SURROGATE OPTIMIZATION OF BUILDING ENERGY MODELS “.

abstract Stevanovic

Federico Dipasquale (SSM Napoli) – Seminario di Analisi

Martedì 16 settembre⋅ Sala Professori I livello ore 15:00 – 16:00

“The formation of gradient-driven singular structures of codimension one and two in two-dimensions: The case study of ferronematics”

We study a two-dimensional variational model for ferronematics — composite materials formed by dispersing magnetic nanoparticles into a liquid crystal matrix. The model features two coupled order parameters: a Landau-de Gennes~$Q$-tensor for the liquid crystal component and a magnetisation vector field~$M$, both of them governed by a Ginzburg-Landau-type energy. The energy includes a singular coupling term favouring alignment between~$Q$ and~$M$. We analyse the asymptotic behaviour of general critical points as a small parameter~$varepsilon$ tends to zero. Our main results show that the energy concentrates along distinct singular sets: the (rescaled) energy density for the~$Q$-component concentrates, to leading order, on a finite number of singular points, while the energy density for the~$M$-component concentrates along a one-dimensional rectifiable set. We also illustrate the relationship between these two singular sets. Joint work with Giacomo Canevari (UniVR) and Bianca Stroffolini (UniNA)

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SEMINARIO di ANALISI MATEMATICA
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Il seminario della Dottoressa E. Brocchieri (Università di Graz) si terra giorno Martedì 30 Settembre 2025, alle ore 15:00 nell’ Aula Professori al I Livello del DMA

Cross-diffusion systems in population dynamics: entropy methods and
weak-strong uniqueness

Abstract: In this talk, we analyse a class of cross-diffusion systems,
modeling the evolution of densities of multicomponent populations in
interaction. More precisely, we derive a class of triangular
cross-diffusion systems as its fast reaction limit.
The main tools used rely on a family of entropy functionals and
compactness arguments. In addition, we investigate the regularity of the
obtained solution, and the weak–strong stability and uniqueness.

AVVISO di SEMINARIO

Dipartimento di Matematica e Applicazioni “R. Caccioppoli”

Università degli Studi di Napoli Federico II

Il giorno mercoledì 1 ottobre, alle ore 15.00, nella sala riunioni “Salvatore Rionero” del Dipartimento, nell’ambito del progetto PRIN-PNRR
“matforpat: A multidisciplinary approach to evaluate ecosystems resilience under climate change”,

il prof. Semu Mitiku KASSA (Botswana International University of Science and Technology)

terrà un seminario dal titolo:

“Climate Variability and Livestock Production Dynamics”

Breve sunto: In this presentation, a non-autonomous mathematical model for plant-herbivore interactions will be investigated to explore the influence of environmental factors (such as, rainfall, temperature, soil
moisture) on livestock production. The model incorporates seasonal variation in plant growth rate, and makes use of either the soil moisture or rainfall data obtained from satellite observations for regions with different soil structure and climate.

Gli interessati sono invitati a partecipare.

B. Buonomo, F. Capone e F. Giannino

martedì 7 ottobre, alle ore 14:00 in  aula SP1L

prof. Qi Guo, Renmin University, Pechino

Titolo: Relativistic and Discrete Eigenvalue Problems

Abstract: In this talk, I will present several distinct eigenvalue problems and explore their interconnections. The first problem concerns the existence of ground states for the nonlinear Dirac equation with power-type nonlinearities. I will demonstrate that, in the nonrelativistic limit, these Dirac ground states converge to the nonlinear Schrödinger ground state, thereby providing a rigorous foundation for certain physical principles. The second problem involves the eigenvalue problem of the discrete Laplacian on a newly introduced random graph model, which features a higher number of connected graphs. I will examine bounds for the first eigenvalue of the discrete Laplacian and discuss an application within hyperbolic geometry.

In Aula D alle ore 15 del giorno 9.10, speaker Riccarda Rossi (università di Brescia) terrà un seminario dal Titolo:
Time-splitting algorithms for gradient systems with two dissipation mechanisms

Abstract:
The talk revolves around gradient systems
whose evolution is generated by the interplay between an energy functional and two dissipation potentials. We focus on the case in which the dual dissipation potential is given by a sum of two functionals and show that solutions of the associated gradient-flow evolution equation can be constructed by a split-step method, i.e. by solving alternately the gradient systems featuring only one of the dissipation potentials and concatenating the corresponding trajectories. Thereby the construction of solutions is provided either by semiflows, on the time-continuous level, or by using Alternating Minimizing Movements in the time-discrete setting. In both cases the convergence analysis relies on the energy-dissipation principle for gradient systems.

Based on joint work with Alexander Mielke (Berlin) and Artur Stephan (Vienna).

Il giorno giovedì 09.10.2025 alle ore 15.00 (o 10 minuti dopo la fine del consiglio, dovesse durare più a lungo) in Aula D la Prof.ssa Riccarda Rossi (Università di Brescia) terrà il seminario

Time-splitting algorithms for gradient systems with two dissipation mechanism

Abstract: The talk revolves around gradient systems whose evolution is generated by the interplay between an energy functional and two dissipation potentials. We focus on the case in which the dual dissipation potential is given by a sum of two functionals and show that solutions of the associated gradient-flow evolution equation can be constructed by a split-step method, i.e. by solving alternately the gradient systems featuring only one of the dissipation potentials and concatenating the corresponding trajectories. Thereby the construction of solutions is provided either by semiflows, on the time-continuous level, or by using Alternating Minimizing Movements in the time-discrete setting. In both cases the convergence analysis relies on the energy-dissipation principle for gradient systems.
Based on joint work with Alexander Mielke (Berlin) and Artur Stephan (Vienna).

Il giorno lunedì 20 ottobre alle ore 16:00 presso la sala riunioni primo livello il dott. Antonio Piccolomini d’Aragona (University of Tubingen) terrà un seminario dal titolo “Epsilon-theorems, cut-elimination,
normalisation: from proofs as objects to the semantics of proofs”.

La locandina del seminario si trova in allegato.SeminarioPiccolominid'Aragona

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Il giorno 27 ottobre 2025, alle ore 15:00, in sala riunioni primo livello, del Dipartimento di Matematica e Applicazioni R. Caccioppoli, il Prof. Lauri Viitasaari, Professor in Statistics, Mathematics, and Data Science at Aalto University School of Business, terrà il seguente seminario:

”Some statistical aspects related to SPDEs”

Abstract: In this talk we discuss several aspects statistical aspects related to SPDEs. In particular, we provide quantitative central limit theorem results for spatial averages of solutions under rather general conditions on both the differential operator and on the noise term. On top of that, we consider non-parametric estimation of the unknown diffusion coefficient. We define an estimator that is shown to be consistent. We also provide the rate of convergence in the L^p norm.

Sarà possibile seguire il seminario anche on line all’indirizzo:

Seminario Prof. Lauri Viitasaari | Partecipazione alla riunione | Microsoft Teams

Il giorno martedì 28 ottobre, alle ore 15.00, nella sala riunioni “Salvatore Rionero” del Dipartimento,

il prof. Tommaso LORENZI (Dipartimento di Scienze Matematiche “G.L.
Lagrange”, Politecnico di Torino)

terrà un seminario dal titolo:

“PDE models for the growth of heterogeneous cell populations: travelling fronts, sharp interfaces, and concentration phenomena”

Abstract: In this talk, PDE models for the growth of heterogeneous cell populations will be considered. Both models with discrete phenotype states, which consist of coupled systems of nonlinear PDEs, and models wherein the phenotype enters as a continuous structuring variable, which are formulated as non-local PDEs, will be examined. Focussing on scenarios where cells with different phenotypes are spatially segregated across invading fronts, travelling wave solutions that exhibit sharp interfaces, for the first class of models, and concentration phenomena, for the second class of models, will be studied.

Gli interessati sono invitati a partecipare.

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Mercoledi’ 29 Ottobre alle ore 15:00 in Aula Professori I Livello, nell’ambito del Colloquium del Dipartimento di Matematica e Applicazioni “Renato Caccioppoli”,
il Prof. Luigi Ambrosio della Scuola Normale Superiore di Pisa terra’ un seminario parzialmente introduttivo/storico di analisi:

ALCUNI TEMI DI ANALISI REALE E TEORIA DELLA MISURA,

UN SECOLO DOPO GIUSEPPE VITALI

La locandina con l’abstract del seminario e’ allegata.

Per il carattere introduttivo del seminario, anche gli eventuali studenti interessati sono chiaramente invitati.

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Ambrosio2025

Il giorno venerdì 7 novembre  2025 alle ore 15.00 nella sala riunioni del primo livello del DMA il Professore Daniele Cassani dell’Università dell’Insubria terrà un seminario dal titolo:

Title: “A new Harnack type inequality and applications”

Abstract: ” It is well known how the Maximum Principle (MP) in general fails to hold for uniformly elliptic operators of order higher than two, even in smooth convex domains. In D. Cassani and A. Tarsia (2022) it was shown in dimension two and three, by establishing a new Harnack type inequality with nonlocal remainder terms, that the validity of the positivity preserving property can be restored when lower order derivatives are taken into account as a perturbation of the higher order differential operator. We will present further advances in this direction, extending the validity of the MP to any dimension and fairly general domains. Moreover, we will discuss how the presence of inertial terms affects the range of the perturbation parameter, providing a balance between the positivity restoring effect of lower order derivatives and the mass energy.”

Il giorno 10 novembre 2025, alle ore 15:00, in SP1L, del Dipartimento di Matematica e Applicazioni R. Caccioppoli, il Prof. Kei Kobayashi, Department of Mathematics, Fordham University, terrà il seguente seminario:

“Effect of random time changes on Loewner hulls”

Abstract: Standard Brownian motion composed with a random time change given by an inverse subordinator has been used to model subdiffusions, where particles spread more slowly than the classical Brownian particles. The time-changed Brownian motion is neither Markovian nor Gaussian, and standard procedures known for normal diffusions do not generally work. This talk gives an overview of the framework of numerical approximation schemes for the time-changed Brownian motion and its associated stochastic differential equations, along with the rates of convergence. This is based on joint work with Sixian Jin and Ernest Jum.

Sarà possibile seguire il seminario anche on line all’indirizzo:

Seminario Prof. Kei Kobayashi | Partecipazione alla riunione | Microsoft Teams

Il giorno mercoledì 12.11.2025 alle ore 10.00 in Sala Riunioni primo livello il Dott. Giacomo Sodini (Università di Vienna) terrà il seguente
seminario:

Titolo: Sobolev functions in spaces of (probability) measures and applications

Abstract: We show that the geometric and the metric approach to the definition of Sobolev spaces on spaces of (probability) measures coincide, provided suitable reference measures are chosen. For a specific (and in some way, canonical) choice of such a measure, we consider the induced Dirichlet form, which is naturally associated to a diffusion process on the space of non-negative measures endowed with the Hellinger–Kantorovich distance. Applications to image classification are also presented. This work has been done in collaboration with Lorenzo Dello Schiavo, Massimo Fornasier, and Pascal Heid.

Mercoledì 12 Novembre 2025, alle ore 15.00, nella sala professori al livello 1, il prof. Yi Zhang dell’Accademia delle Scienze di Pechino terrà un seminario dal titolo

Weak solutions to Serrin’s overdetermined problem

Abstract:

Serrin’s classical overdetermined theorem states that if a bounded C^2-domain supports a function

with a constant Laplacian that satisfies both constant Dirichlet and Neumann boundary conditions,

then the domain must be a ball. In this presentation, we explore this problem further, demonstrating

that the theorem’s conclusion extends to a broader class of domains, including Lipschitz domains.

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SEMINARIO di ANALISI MATEMATICA
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Giovedì 13 Novembre 2025, alle ore 15:00 nell’Aula Professori al I Livello del DMA, il Professor Julio D. Rossi dell’Università di Buenos Aires, terrà il seguente seminario:

Title: The flow by minimal curvature.

Abstract; in this talk we look for the convex hull of a set using the geometric evolution by minimal curvature of a hypersurface that surrounds the set. To find the convex hull, we study the large time behavior of solutions to an obstacle problem for the level set formulation of the geometric flow driven by the minimum of the principal curvatures (that coincides with the mean curvature flow only in two dimensions). We prove that the superlevel set where the solution to this obstacle problem is positive converges as time goes to infinity to the convex hull of the obstacle. Our approach is based on a game-theoretic approximation for this geometric flow that is inspired by previous results for the mean curvature flow.

Il giorno 25 novembre 2025, alle ore 10:30, in Aula D6 dell’Aulario A di Monte S. Angelo, il Prof. Wolfgang Bock, Linnaeus University of Växjö, terrà il seguente seminario:

“The characterization of Malliavin-Watababe-Sobolev spaces via the Bargmann-Segal Space”

Abstract: The characterization theorem and its corollaries set the foundation of the success of white noise analysis in the recent 30 years. On different occasions the fathers of the characterization J. Potthoff and L. Streit were asked by P. Malliavin and P.-A. Meyer if such a characterization is also possible for the Mallliavin-Watanabe Sobolev spaces. In this talk we present how we closed this gap and give a characterization of the Mallliavin-Watanabe Sobolev spaces with the help of the Bargmann-Segal transform. The characterization can also be generalized to the non-Gaussian setting. Examples will showcase the regularity of different objects.

Sarà possibile seguire il seminario anche on line all’indirizzo:

Seminario Prof. Wolfgang Bock | Partecipazione alla riunione | Microsoft Teams

Giammichele Di Matteo (SSM Napoli) – Seminario di Analisi

Martedì, 25 novembre⋅15:00 – 16:00

Title: Higher dimensional Sacks-Uhlenbeck approximation

Abstract: In this talk, we will describe a generalization of Sacks-Uhlenbeck’s existence of harmonic 2-spheres result to higher dimensional domains, that is we construct non-trivial, regular, n-harmonic n-spheres in suitable target manifolds. The proof follows a similar perturbative argument, which in high dimensions leads to a degenerate and double-phase-type Euler-Lagrange system, making the uniform regularity needed to formalise the bubbling harder to achieve. If time permits, we will sketch how to combine these results to solve quite general min-max problems for the n-energy modulo bubbling. This is a joint work with Tobias Lamm.

Analytical and Geometric Methods in PDEs

Dipartimento di Matematica e Applicazioni “Renato Caccioppoli” (Sala Professori, I livello)
27–28 novembre 2025

Sito web:
https://sites.google.com/uniroma1.it/analyticalandgeometricmethodsi?usp=sharing&pli=1&authuser=1

Locandina (2)

Umberto Guarnotta (Catania) – Seminario di Analisi

Martedì, 2 Dicembr – Sala Professori I livello ore 15:00 – 16:00

A p-LAPLACIAN PROBLEM IN RN WITH SINGULAR, CONVECTIVE, CRITICAL REACTION

This talk is devoted to discuss existence, regularity, and decay properties of solutions to a p-Laplacian problem set in the whole Euclidean space and exhibiting a critical term perturbed by a singular, convective reaction. The approach used combines variational methods, truncation techniques, and concentration compactness arguments, together with set-valued analysis and fixed point theory. De Giorgi’s technique, a priori gradient estimates, and nonlinear regularity theory are employed to obtain local Hölder regularity of gradients of solutions, as well as their pointwise decay at infinity. The result is new even in the non-singular case, also for the Laplacian.

Il giorno martedì 2 dicembre, alle ore 16.30, nella sala riunioni “Salvatore Rionero” del dipartimento, nell’ambito dell’accordo di cooperazione scientifica “NAASCO” tra il DMA e il Dipartimento di Matematica dell’Università di Addis Abeba, Etiopia,

la prof. Manalebish Debalike ASFAW (Università di Addis Abeba)

terrà un seminario dal titolo:

“Modeling Cholera Dynamics with Optimal Control and Cost-Effectiveness Analysis Strategy in Ethiopia”

This study develops a climate-sensitive deterministic model (SIR-B) to analyze cholera transmission in Ethiopia, integrating human and environmental pathways with climate-dependent parameters. Calibrated to national data from 2022–2024, the model indicates that environment-to-human transmission is dominant. An optimal control analysis assesses five interventions, and cost-effectiveness results
(ICER) identify vaccination as the most advantageous strategy. The findings highlight the key role of climate in cholera dynamics and offer evidence-based guidance for efficient and sustainable control policies.

Gli interessati sono invitati a partecipare.

Il giorno 04.12.2025 alle ore 15 in Sala Riunioni primo livello il Dott. Antonio Donnarumma (FAU Erlangen) terrà il seguente seminario:

Titolo: Γ-convergence and stochastic homogenization of second order singular perturbation models for phase transitions

Abstract: We study the effective behavior of random, heterogeneous, anisotropic, second order phase transitions energies that arise in the study of pattern formations in physical-chemical systems. Specifically, we study the asymptotic behavior, as ϵ goes to zero, of random heterogeneous anisotropic functionals in which the second order perturbation competes not only with a double well potential but also with a possibly negative contribution given by the first order term. We prove that, under suitable growth conditions and under a stationarity assumption, the functionals Γ-converge almost surely to a surface energy whose density is independent of the space variable. Furthermore, we show that the limit surface density can be described via a suitable cell formula and is deterministic when ergodicity is assumed.

Il professore Massimo Grossi dell’università di Roma la Sapienza il giorno giovedì 11 dicembre 2025 alle ore 15.00 nella sala riunioni del primo livello del dma terrà un seminario dal titolo:

Title: On the critical points of solutions of elliptic equations

Abstract: In this seminar we will study the shape of positive solutions to semilinear elliptic Dirichlet problems defined in a bounded domain of R^n. The first eigenfunction of the Laplacian and the solution to the torsion problem will serve as excellent toy models. A classical question we will address is the following: how does the geometry of the domain influence the number of critical points of the solutions?

We will also examine the case of Dirichlet problems on manifolds.