Prof. Dr. Lenny Taelman:
Complex multiplication and K3 surfaces over finite fields
Time and place
Friday, 17.6.16, 10:15-11:15, Raum 404, Eckerstr. 1
Abstract
The zeta function of a K3 surface over a finite field satisfies a number of obvious (archimedean and l-adic) constraints and a number of less obvious (p-adic) constraints. We consider the converse question, in the style of Honda-Tate: given a rational function Z satisfying all these constraints, does there exist a K3 surface whose zeta-function equals Z?