University of Cambridge > Talks.cam > Algebraic Geometry Seminar > Geometric Langlands and non-abelian Hodge theory

Geometric Langlands and non-abelian Hodge theory

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  • UserTony Pantev (Pennsylvania)
  • ClockWednesday 23 February 2011, 14:15-15:15
  • HouseMR13, CMS.

If you have a question about this talk, please contact Burt Totaro.

I will explain a general framework for understanding the geometric Langlands correspondence via non-abelian Hodge theory and Hitchin’s abelianization. I will show how this framework can be used to produce Hecke eigensheaves explicitly. I will also illustrate the general strategy on the non-trivial example of the projective line with tame ramification at five points. This is a joint work with R. Donagi and C. Simpson.

This talk is part of the Algebraic Geometry Seminar series.

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