MS Seminar (Mathematics - String Theory)

Speaker: Masataka Chida (Kyoto University)
Title: Anticyclotomic p-adic L-functions for modular forms
Date (JST): Tue, May 22, 2012, 13:15 - 14:45
Place: Seminar Room A
Abstract: We will report a joint work with Ming-Lun Hsieh on Iwasawa theory for modular forms. It is expected a mysterious relation between algebraic objects (Selmer groups for Galois representations) and analytic objects (special values of zeta functions) in number theory. In this talk, we will discuss the analytic side. More precisely, we will explain a construction of p-adic L-functions for modular forms in anticyclotomic setting, which is a generalization of Bertolini-Darmon's p-adic L-function. We will also discuss the interpolation property and the vanishing of mu-invariant of the p-adic L-function.