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タイトル The Equivariant Tamagawa Number Conjecture for modular motives with coefficients in Hecke algebras
開催日時 2016年8月8日 16:30-17:30
主催者
講演者 Olivier Fouquet 氏(Orsay大学)
場所 慶應義塾大学・理工学部 矢上キャンパス14棟202教室
内容 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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