Dipartimento di Matematica e Applicazioni "Renato Caccioppoli"

Dipartimento di Matematica e Applicazioni “Renato Caccioppoli”
Matematica
federicoII

25Ott15:3016:30Computing the endomorphism ring of a supersingular elliptic curve over a finite field15:30 - 16:30

dettagli dell'evento

Avviso di Seminario di Geometria e Algebra

dott.ssa Annamaria Iezzi

mercoledì 25 ottobre dalle 15:30 alle 16:30 in Aula C

Title: Computing the endomorphism ring of a supersingular elliptic curve over a finite field

Abstract: The endomorphism ring of a supersingular elliptic curve over a finite field is a maximal order inside a quaternion algebra. Computing this order is a hard problem and this assumption is central to the security of isogeny-based cryptography, a young and very active subfield of post-quantum cryptography based on the mathematical problem of finding an isogeny between two given elliptic curves.

In this talk, after reviewing the mathematical and cryptographic context, we will discuss the state-of-art of this problem and we will present some recent advances about it. This is a joint work with Jenny G. Fuselier, Mark Kozek, Travis Morrison and Changningphaabi Namoijam.

Remarks: The seminar will be given in English or Italian, depending on the audience, and it will be accessible also to master students.

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Orario dell'evento

(Mercoledì) 15:30 - 16:30

Posizione

Sala Professori al I Livello del Dipartimento di Matematica ed Applicazioni Renato Caccioppoli