中科院数学与系统科学研究院

数学研究所

 

学术报告会

 

 

报告人Olivier Fouquet  (南巴黎大学)

 

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

 

  2017.05.17(星期三),16:30-17:30

 

  点:晨兴110

 

AbstractThe 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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