
Seminar in Representation Theory

主講者:

陳朝銑 教授 (Northwestern University)

講題:

NonAbelian Hodge Theory in Positive Characteristic

時間:

20140116
(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 Gbundles in terms of the moduli space of GHiggs bundles over the Frobenius twist $C^,$ of C. This description can be regarded as the nonabelian 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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