On the Birch–Swinnerton-Dyer conjecture for abelian surfaces

Abstract: Euler systems are one of he most powerful tools for proving cases of the Birch–Swinnerton-Dyer conjecture. I will explain how one can use the Euler system for genus $2$ Siegel modular forms to prove new cases of the conjecture for modular abelian surfaces in analytic rank $0$. This is work in progress with David Loeffler.

algebraic geometrynumber theory

Audience: researchers in the topic

Séminaire de géométrie arithmétique et motivique (Paris Nord)