Elliptic curves and harmonic weak Maass forms

Abstract: In this talk we first introduce modular forms and an arithmetically particularly interesting generalization: harmonic weak Maass forms. We show how these forms can be related to elliptic curves. Special harmonic Maass forms encode the vanishing of the central L-value and L-derivative which occur in the Birch and Swinnerton-Dyer Conjecture. (This is in parts joint work with Michael Griffin, Ken Ono and Larry Rolen building upon work of Jan Bruinier an Ken Ono.)

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