Seminar in Representation Theory
主講者: 陳朝銑 教授 (Northwestern University)
講題: Non-Abelian Hodge Theory in Positive Characteristic
時間: 2014-01-16 (Thu.)  11:00 -
地點: 數學所 722 研討室 (台大院區)
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 $C^,$ 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.
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