Séminaire Algèbre Géométrie Algébrique Topologie Algébrique
jeudi 03 mai 2007 à 11:15 - salle 431
Jochen Heinloth (Universität Duisburg-Essen)
The cohomology ring of the moduli stack of principal bundles on curves
In joint work with A. Schmitt we gave an algebraic caluclation of the cohomology ring of the moduli stack of principal bundles on a curve. This generalizes a theorem of Atiyah-Bott for the case of Riemann surfaces to curves over fields of almost arbitrary characteristic. The proof uses the recent construction of projective coarse moduli spaces of principal bundles in positive characteristic.