Cohomologies of stacks of shtukas

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• Cong Xue (Cambridge)
• Tuesday 09 October 2018, 14:30-15:30
• MR11.

If you have a question about this talk, please contact Beth Romano.

I will recall the definition of cohomologies of stacks of shtukas for split reductive groups, which generalize the space of automorphic forms over functions fields; and talk about the motivations.

Then I will show that the cohomologies are modules of finite type over the Hecke algebra. This allows us to extend the excursion operators of V. Lafforgue from the space of cuspidal automorphic forms to the space of all automorphic forms, and gives the Langlands parametrization for some quotient spaces of automorphic forms.

This talk is part of the Number Theory Seminar series.

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