# Euler systems for GSp(4)

## TL;DR

This paper constructs an Euler system for Galois representations linked to automorphic forms on GSp(4) by leveraging Eisenstein classes from GL(2) x GL(2), advancing the understanding of Galois representations in this context.

## Contribution

It introduces a novel Euler system for GSp(4) Galois representations using pushforwards of Eisenstein classes from GL(2) x GL(2).

## Key findings

- Established an Euler system for GSp(4) Galois representations.
- Connected Eisenstein classes for GL(2) x GL(2) to GSp(4).
- Provided new tools for studying Galois representations in symplectic groups.

## Abstract

We construct an Euler system for Galois representations associated to cohomological cuspidal automorphic representations of the group GSp(4), using the pushforwards of Eisenstein classes for GL(2) x GL(2).