Departamento de Matemáticas UAM

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Seminario Teoría de Números

Seminario Teoría de Números

Title: The minus part of the equivariant Tamagawa Number Conjecture

SPEAKER: Dominik Bullach (King's College London)

DATE & TIME: Viernes 19 de mayo - 17:00

VENUE: Aula Naranja, ICMAT.

ABSTRACT: In this talk I will give an introduction to the `minus part’ of the equivariant Tamagawa Number Conjecture for finite abelian CM extensions of totally real fields, which can be viewed as a refinement of the analytic class number formula, and explain how a novel Euler systems argument allows one to deduce the validity of the conjecture (outside 2) from the recent proof of the Strong Brumer—Stark Conjecture by Dasgupta and Kakde.

This is joint work with Burns, Daoud, and Seo.

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