Cancelled: postponed to a later date, tba

The Ruth Moufang Lectures will have their second iteration on November 9th and 10th, 2022 in Darmstadt. We are happy to announce that our speaker will be Sarah Zerbes (ETH Zürich). The lectures will circle around the BSD conjecture and Euler systems.

• 3rd lecture: Euler systems and the BSD conjecture for abelian surfaces

Abstract:

I will recall a series of recent works (variously joint with Loeffler, Pilloni, Skinner) giving rise to an Euler system in the cohomology of Shimura varieties for GSp(4), and an explicit reciprocity law relating the Euler system to values of L-functions. I will then explain recent work with Loeffler, where we use this Euler system to prove new cases of the BSD conjecture for modular abelian surfaces over Q, and for modular elliptic curves over imaginary quadratic fields.

Lectures 2 and 3 are aimed at mathematicians with a background in number theory.