Iwasawa theory and Bloch-Kato conjecture for unitary groups

Abstract: we discuss a new way to study Iwasawa theory and Eisenstein congruences on unitary groups of general signature using p-adic functional equation, and deduce from it consequences on Bloch-Kato conjecture in the ordinary case. We also discuss work in progress with Castella and Liu to generalize this to finite slope cases.

algebraic geometrynumber theory

Audience: researchers in the topic

UCSB Seminar on Geometry and Arithmetic