Thursday, March 1 2018
15:30 - 16:30

Alladi Ramakrishnan Hall

On Gross-Stark conjecture

Mahesh Kakde

King's college London

In 1980, Gross conjectured a formula for the expected
leading term at s=0 of the p-adic L-function associated to
characters of totally real. number fields. The conjecture states a precise relation between this leading term and p-adic regulator of p-units in an abelian extension. In the talk I will present a precise formulation of the conjecture and describe its relevance
for Hilbertís 12th problem. I will then sketch proof of this conjecture of Gross. This is a joint work with Samit Dasgupta and Kevin Ventullo.

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