Hauptseminar Arithmetische Geometrie

Let f be a modular Hecke eigenform. There are several constructions of a (commutative) p-adic L-function attached to f, whose interpolation formulas involve a complex period defined using modular symbols (used by Mazur-Tate-Teitelbaum, Kitagawa, Stevens, among others). On the other hand, attached to f there is a motive M(f) whose complex L-function coincides with the L-function of f, by constructions of Deligne and Scholl. It is a priori not clear from the definitions whether the period mentioned before coincides with Deligne's period for the motive M(f) defined using the comparison isomorphism between Betti and de Rham cohomology. We prove that this is the case for all critical twists of M(f).

Donnerstag, den 22. Oktober 2015 um 11:15 Uhr, in INF288, HS4 Donnerstag, den 22. Oktober 2015 at 11:15, in INF288, HS4