Title: Multiplicities in Selmer groups and root numbers for Artin twists
Speaker: Sudhanshu Shekhar (IIT Kanpur)
Date: 18 December 2020
Time: 3 pm
Venue: Microsoft Teams (online)
Given a Galois extension of number fields $K/F$ and two elliptic curves $A$
and $B$ with equivalent residual Galois representation mod $p$, for an odd
prime $p$, we will discuss the relation between the $p$-parity conjecture of
$A$ twisted by $\sigma$ and that of $B$ twisted by $\sigma$ for an irreducible,
self dual, Artin representation $\sigma$ of the Galois group of $K/F$.
This is a joint work with Somnath Jha and Tathagata Mandal.