Wednesday 24 May 2017, 16:00-17:00 in HG03.085
Johan Commelin (RU)
The Mumford-Tate conjecture for products of K3 surfaces
The Mumford-Tate conjecture relates the Hodge structure on the singular cohomology of an algebraic variety (over a number field) with the Galois representation on the etale cohomology of that variety. In this talk we explain a new technique that allows us to prove this conjecture for products of K3 surfaces. Along the way we also prove that the system of l-adic realisations of an abelian motive form a so-called quasi-compatible system.