The Equivariant Tamagawa Number Conjectures (ETNC) of Kato form an awe-inspiring web of conjectures predicting the special values of L-functions of motives as well as their behavior 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 how they can be used to predict p-adic variations of special values of L-functions and give an outline of their proof (under mild hypotheses on the residual representation) using a combination of the methods of Euler and Taylor-Wiles systems.
Freitag, den 28. Oktober 2016 um 13:30 Uhr, in INF205, SR C Freitag, den 28. Oktober 2016 at 13:30, in INF205, SR C
Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. Dr. Otmar Venjakob