Number Theory Seminar

Sudesh KalyanswamyYale University
Modularity lifting and the modularity of elliptic curves over totally real fields

Friday, November 3, 2017 - 2:30pm
Malott 206

In this talk, we will discuss some recent developments in the modularity of elliptic curves over totally real fields. After a brief review of what modularity means, we will examine an idea of Thorne for proving modularity lifting theorems which comes from blending the classical method of Taylor and Wiles with a different approach due to Khare. We will end by discussing how these new modularity lifting theorems can be applied to the setting of elliptic curves.