Chris Wuthrich (Nottingham)

will speak on

Integrality of twisted L-values of elliptic curves

Time: 2:00PM
Date: Thu 12th November 2020
Location: Online [map]

Further information

Abstract: In the context of the generalised Birch and Swinnerton-Dyer conjecture, one considers the value at $s=1$ of the L-function of an elliptic curve $E/\mathbb{Q}$ twisted by a Dirichlet character $\chi$. When normalised with a period, one obtains an algebraic number $\mathscr{L}(E,\chi)$. In joint work with Hanneke Wiersema, we determine under what conditions $\mathscr{L}(E,\chi)$ is an algebraic integer.

(This talk is part of the Algebra and Number Theory series.)

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