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Department of Mathematics,
University of California San Diego

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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/

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