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An Euler system for the symmetric square of a modular form

PU/IAS Number Theory

An Euler system for the symmetric square of a modular form

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Chris Skinner, Princeton University
IAS - Simonyi Hall Seminar Room SH-101

Meeting ID:  920 2195 5230

Passcode:    The three-digit integer that is the cube of the sum of its digits.

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.