28/06/2006, 16:00 — 17:00 — Room P4.35, Mathematics Building Frank Neumann, University of Leicester
Frobenius actions on the cohomology of moduli stacks of vector
bundles on curves
I will outline how to determine explicitly the action of the
various geometric and arithmetic Frobenius morphisms on the l-adic
cohomology of the moduli stack of vector bundles with fixed rank
and degree on a smooth projective algebraic curve of positive
characteristic. If time permits I will indicate how to prove the
Weil Conjectures for this stack. This is joint work in progress
with U. Stuhler (Goettingen).