On a BSD-type formula for L-values of Artin twists of elliptic curves

Abstract: The Birch and Swinnerton-Dyer conjecture connects the arithmetic of elliptic curves over number fields to their L-functions. The conjecture includes a formula for the leading term of the Taylor series of the L-function at s=1 in terms of arithmetic data associated to the elliptic curve. In this talk we will discuss the possible existence of such a formula for L-functions of elliptic curves twisted by Artin representations. After outlining some expected properties of these L-functions, we will present arithmetic applications and some explicit examples. This is joint work with Vladimir Dokchitser and Robert Evans.

number theory

Audience: researchers in the topic

Japan Europe Number Theory Exchange Seminar

Series comments: The purpose of the Japan Europe Number Theory Exchange Seminar is to give a opportunity for researchers in Japan and Europe to exchange their research projects by giving short talks (30 min). The target audience are researchers of any level in the area of number theory.

Start for Fall 2021: 26th October