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)
题 目:The Equivariant Tamagawa Number Conjecture for modular motives with coefficients in Hecke algebras
时 间:2017.05.17(星期三),16:30-17:30
地 点:晨兴110室
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.