##### Department of Mathematics,

University of California San Diego

****************************

### Math 209 - Number Theory Seminar

## Mahesh Kakde

#### IISc, Bangalore

## 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.

Host: Kiran Kedlaya

### April 8, 2021

### 10:00 AM

### Location: See https://www.math.ucsd.edu/\~{}nts/

****************************