On the Brumer-Stark conjecture and applications to Hilbert's 12th problem

Abstract: I will report on my joint work with Samit Dasgupta on the Brumer-Stark conjecture proving existence of the Brumer-Stark units and on a conjecture of Dasgupta giving a p-adic analytic formula for these units. I will present a sketch of our proof of the Brumer-Stark conjecture and also mention applications to Hilbert's 12th problem, or explicit class field theory.

number theory

Audience: researchers in the discipline

UCSD number theory seminar

Series comments: Most talks are preceded by a pre-talk for graduate students and postdocs. The pre-talks start 40 minutes prior to the posted time (usually at 1:20pm Pacific) and last about 30 minutes.