M. Gröchenig: Moduli of local systems and Geometric Langlands in positive characteristic

Abstract:

We will study the relation between moduli stacks of local systems and Higgs bundles on curves defined over a field of positive characteristic. Extending a result of Bezrukavnikov-Braverman we obtain a derived equivalence, which can be viewed as an instance of the Geometric Langlands Correspondence for D-modules in positive characteristic.