On Congruences of Galois Representations of Number Fields

Title: On Congruences of Galois Representations of Number Fields

 

SpeakerProf.Yuichiro Taguchi ( Kyushu University)

 

Date:  16:00-17:00 pm, September 23, 2014

 

Place: Conference Room A304, Department of Mathematical Sciences

 

Abstract:  We give a criterion for two l-adic Galois representations of an algebraic number field to be isomorphic when restricted to a decomposition group, in terms of global representations modulol. This is applied to prove a generalization of a conjecture of Rasmussen-Tamagawa under a semistability condition. It is also applied to prove a congruence result on the Fourier coefficients of modular forms. This is a joint work with Yoshiyasu Ozeki.

 

ContactLinsheng Yin