Construction of Euler systems for GSp4×GL2

Abstract: Following a strategy similar to the work of Loeffler-Skinner-Zerbes, we construct Euler systems for Galois representations coming from automorphic representations of GSp4×GL2. We will explain how the tame norm relations follow from a local calculation in smooth representation theory, in which the integral formula of L-functions, due to Novodvorsky in our case, plays an important role. This is a joint work with Zhaorong Jin and Ryotaro Sakamoto.

algebraic geometrynumber theoryrepresentation theory

Audience: researchers in the topic

Columbia Automorphic Forms and Arithmetic Seminar