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Algebra & Combinatorics Seminar

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.

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 15 Jul 2024