## Department of Mathematics

Indian Institute Of Technology Madras , Chennai

### $p^r$-Selmer companion modular forms

#### Abstract :

Given two elliptic curves $E_1$ and $E_2$ over a number field $K$, Mazur and Rubin have defined them to be $n$-Selmer companion if for every quadratic twist $_X$ of $K$, the $n$-Selmer group of $E_1^X$ and $E_2^X$ over $K$ are isomorphic. We will discuss an analogue of this for modular forms. This talk is based on a joint work with Sudhanshu Shekhar and Dipramit Majumdar

Key Speaker Dr. Somnath Jha, Indian Institute of Technology Kanpur
Place NAC 522
Start Time 11:00 AM
Finish Time 11:50 AM