Avviso Seminario
Dipartimento di Matematica e Applicazioni “Renato Caccioppoli”
Università degli Studi di Napoli “Federico II”
Martedì 5 marzo 2024 Sala Professori I livello, h. 15:00
Rosario Mennuni
Università di Pisa
“Positive logic and automorphisms of ordered abelian groups and valued
fields”
I will talk about recent joint work with Jan Dobrowolski, where we study ordered
abelian groups with an automorphism. We prove that their embeddings have the
Amalgamation Property, and deduce that the existentially closed ones, despite not
forming an elementary class, are NIP when studied in the framework of positive logic.
The talk will feature an introduction to positive logic, an exposition of the results on
automorphisms of ordered abelian groups and, if time permits, I will also talk about
work in progress of myself, Jan Dobrowolski and Francesco Gallinaro, about extending
these techniques to the study of existentially closed valued fields of residue
characteristic 0 with an automorphism.