Speaker : Prof. Tsao-Hsien Chen (Northwestern University)
Title : Non-Abelian Hodge Theory in Positive Characteristic
Time : 2014-01-16 (Thu) 11:00 -
Place : Seminar Room 722, Institute of Mathematics (NTU Campus)
Abstract: Let G be a reductive group over an algebraically closed field of positive characteristic. Let C be a smooth projective curve over k. In the talk, I will give a description of the moduli space of at G-bundles in terms of the moduli space of G-Higgs bundles over the Frobenius twist of C. This description can be regarded as the non-abelian Hodge theory for curves in positive characteristic. If time permits, I will explain an application of this result to geometric Langlands correspondence. This is joint work with Xinwen Zhu.