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Séminaire de Géométrie Arithmétique Paris-Pékin-Tokyo

The Equivariant Tamagawa Number Conjecture for modular motives with coefficients in Hecke algebras

by Prof. Olivier FOUQUET (Université Paris-Sud)

mercredi 17 mai 2017 de au (Europe/Paris)
at IHES ( Centre de conférences Marilyn et James Simons )
Le Bois Marie 35, route de Chartres 91440 Bures-sur-Yvette
Description

The Equivariant Tamagawa Number Conjecture (ETNC) of Kato is an awe-inspiring web of conjectures predicting the special values of L-functions of motives as well as their behaviors under the action of algebras acting on motives. In this talk, I will explain the statement of the ETNC with coefficients in Hecke algebras for motives attached to modular forms, show some consequences in Iwasawa theory and outline a proof (under mild hypotheses on the residual representation) using a combination of the methods of Euler and Taylor-Wiles systems.

Organisé par Ahmed Abbes
Contact Email: cecile@ihes.fr