Posted in

Speaker:

Matteo Verzobio
Affiliation:

Institute of Science and Technology Austria
Date:

Mon, 11/09/2023 - 14:25 - 14:45
Location:

MPIM Lecture Hall
Parent event:

Conference for Young Number Theorists in Bonn In this talk, we will study the problem of understanding if the property of admitting an isogeny of fixed degree satisfies the local-global principle. Specifically, we seek to address the following question. Let $A$ be an abelian variety and $K$ be a number field. Assume that, for all but finitely many primes $p$ in $K$, the abelian variety $A$ reduced modulo $p$ is isogenous to an abelian variety via an isogeny of fixed degree $N$. Is it true that $A$ is isogenous to an abelian variety via an isogeny of degree $N$? We will present the known results on the topic and some new results. This is joint work with Prof. Davide Lombardo (Università di Pisa).

© MPI f. Mathematik, Bonn | Impressum & Datenschutz |