Cohomology of moduli stacks of vector bundles on algebraic curves and Frobenius morphisms

Frank Neumann (University of Leicester)

Monday 31st January, 2011 16:00-17:00 204


After a brief introduction to moduli problems and moduli stacks, I will explain how to calculate cohomology ring of the moduli stack of vector bundles on a fixed algebraic curve in characteristic p. I will then discuss the actions of the various Frobenius morphisms and how to prove an analogue of the classical Weil conjectures for this moduli stack, which basically gives a stacky count of the number of isomorphism classes of vector bundles in charactersitic p.

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