Andrea Miller (Harvard)

On Murre's conjecture for mixed Kottwitz surfaces

Murre's conjecture states that a Kuenneth decomposition (inside a Weil cohomology ) of the diagonal of any smooth projective variety lifts to an orthogonal Chow-Kuenneth decomposition in the corresponding Chow group under the cycle class map.

We will explain how this can be proved in the case of a family of abelian varieties over a Shimura variety.