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Department of Mathematical Sciences

Seminars

This week's seminars

Arithmetic Study Group: The p-adic Stark conjecture at s=1 and applications

Presented by Henri Johnston, University of Exeter

21 November 2017 14:00 in CM 219

Let E/F be a finite Galois extension of totally real number fields and
let p be a prime. The `p-adic Stark conjecture at s=1' relates the
leading terms at s=1 of p-adic Artin L-functions to those of the
complex Artin L-functions attached to E/F. When E=F this is equivalent
to Leopoldt’s conjecture for E at p and the ‘p-adic class number
formula’ of Colmez. In this talk we discuss the p-adic Stark
conjecture at s=1 and applications to certain cases of the equivariant
Tamagawa number conjecture (ETNC). This is joint work with
Andreas Nickel.

Contact athanasios.bouganis@durham.ac.uk or pankaj.vishe@durham.ac.uk for more information

Research Seminars by Series

The research groups in the Department of Mathematical Sciences hold several seminar series in term time. Information on date, time and location are available here.

For information on previous years' seminars please see the seminar archives pages.