summer 2000 



Jacklyn Lang, Université Paris XIII 29.01.2020 12:00, B137 Title: The Hodge and Tate Conjectures for selfproducts of some K3 surfaces Abstract:
There are 16 K3 surfaces (defined over Q) that LivnéSchüttYui have shown are modular, in the sense that the transcendental part of their cohomology is given by an algebraic Hecke character. Using this modularity result, we show that for two of these K3 surfaces X, the variety X^n satisfies the Hodge and Tate Conjectures for any positive integer n. In the talk, we will discuss the details of the Tate Conjecture for X^2. This is joint work in progress with Laure Flapan. 