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Status |
Confirmed |
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Seminar Series |
MATH-IHES |
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Subjects |
hep-th |
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Date |
Wednesday 17 May 2017 |
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Time |
10:30 |
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Institute |
IHES |
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Seminar Room |
Centre de conférences Marilyn et James Simons |
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Speaker's Last Name |
Fouquet |
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Speaker's First Name |
Olivier |
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Speaker's Email Address |
|
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Speaker's Institution |
Université Paris-Sud |
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Title |
The Equivariant Tamagawa Number Conjecture for modular motives with coefficients in Hecke algebras |
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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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arXiv Preprint Number |
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Comments |
Séminaire de Géométrie Arithmétique Paris-Pékin-Tokyo |
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Attachments |
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