Andrea Miller (Harvard)
"On a Conjecture of Murre for some mixed Shimura varieties"
In the first part of my talk I will give a short introduction to
Shimura varieties and Chow motives and recall some of
I will then state a conjecture of J.Murre concerning a motivic
decomposition of the Chow-motive of a smooth projective
variety. This yields a strengthening of Grothendieck's conjecture C
for rational equivalence.
In the last part I will show how to prove this conjecture in the
case of a universal 9-dimensional abelian variety (with additional
over a unitary Shimura variety.