Title: The Equivariant Tamagawa Number Conjecture for modular motives with coefficients in Hecke algebras
Speaker: Olivier Fouquet (南巴黎大学)
Time: 2017-5-17, 16:30—17:30
Place: 110
Abstract: 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.
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