An Euler System for the Symmetric Square of a Modular Form - Chris Skinner

Описание: An Euler System for the Symmetric Square of a Modular Form - Chris Skinner
Joint IAS/PU Number Theory Seminar

Topic: An Euler System for the Symmetric Square of a Modular Form
Speaker: Chris Skinner
Affiliation: Princeton University
Date: February 16, 2023

I will explain a new construction of an Euler system for the symmetric square of an eigenform and its connection with L-values. The construction makes use of some simple Eisenstein cohomology classes for Sp(4) or, equivalently, SO(3,2). This is an example of a larger class of similarly constructed Euler systems. This is a report on joint work with Marco Sangiovanni Vincentelli.