Università degli Studi di Padova

“The fullness conjectures for products of elliptic curves”

Venerdì 3 Maggio 2024 - Aula 2AB40 - Bruno Kahn (CRNS, Institut de Mathématiques de Jussieu, Sorbonne Université)

Abstract

I shall sketch a uniform proof of the four conjectures listed in Yves André’s book on motives in the case of a product of elliptic curves, namely: the Hodge conjecture, the Tate conjecture, the weak Grothendieck period conjecture and the Ogus conjecture. (Some of them are already known; this method gives new proofs.)