数学科学系

Department of Mathematical Sciences

On Congruences of Galois Representations of Number Fields

报告题目: On Congruences of Galois Representations of Number Fields

 

报告人: Yuichiro Taguchi(日本九州大学教授)

 

时间: 2014930日(星期二)16:00-17:00

 

地点: 理科楼数学系A304

 

摘要: 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.

 

联系人: 印林生