On Iwasawa theory for CM elliptic curves at inert primes

Abstract: In this talk, I will report on recent work on the anticyclotomic Iwasawa theory for CM elliptic curves at inert primes. A key result is a structure theorem of local units predicted by Rubin, which leads to new developments in supersingular Iwasawa theory, an instance: a Bertolini-Darmon-Prasanna style formula for Rubin's p-adic L-function. I will also discuss the BDP formula and applications. This is joint work with Ashay Burungale and Shinichi Kobayashi.

algebraic geometrynumber theory

Audience: researchers in the topic

UCSB Seminar on Geometry and Arithmetic