Cuspidal $p$-adic deformations of critical Eisenstein series for $G_2$

Abstract: In this talk, I will explain how (under certain standard conjectures of Arthur) Urban's eigenvariety allows us to $p$-adically deform, in generically cuspidal families, critical $p$-stabilizations of certain maximal parabolic Eisenstein series for $G_2$. This has consequences for the symmetric cube Bloch--Kato conjecture.

algebraic geometrynumber theory

Audience: researchers in the topic

UCSB Seminar on Geometry and Arithmetic