Home | Sitemap | Contact | Chinese | CAS
Search: 
About AMSS Research People International Cooperation News Societies & Journals Resources Education Join Us Links
Research
Location: Home >  Research >  Colloquia & Seminars
(2021.12.20) Prof. Eric Urban: Euler systems and congruences between modular forms
Author:
ArticleSource:
Update time: 2021-12-09
Close
A A A
Print
 

 

Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

Prof. Eric Urban,Columbia University

Inviter:  
Title:
Euler systems and congruences between modular forms
Time & Venue:
2021.12.20 10:30-11:30 Zoom会议:466 356 2952 密码: mcm1234
Abstract:

The aim of these lectures is to present through different examples a construction of Euler systems from the study of congruences between modular forms of various level and weights. The first lecture will be devoted to the case of adjoint modular Galois representations for which I will explain the construction of a rank 2 Euler system under a conjectural property of the annihilators of certain congruence modules for abelian base change. The other lectures will be devoted to the case of Eisenstein congruences. I will first show how the GL(2)-case can be settled unconditionally, and then explain how this strategy will be extend also unconditionally to the general symplectic or unitary case in the ordinary setting according to the time and the interests of the audience.

 

 

Appendix:
Copyright@2008, All Rights Reserved, Academy of Mathematics and Systems Science, CAS
Tel: 86-10-82541777 Fax: 86-10-82541972 E-mail: contact@amss.ac.cn