Non-abelian Hodge theory for curves in characteristic p -- Xinwen Zhu, November 1, 2013

Let G be a reductive group and X be a smooth projective curve over an algebraically closed field of characteristic p > 0. I will give a description of the moduli space of de Rham G-local systems on X in terms of the moduli space of G-Higgs fields on X. This description can be regarded as a positive characteristic non-abelian Hodge theory for curves.