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.