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Nearby cycles and cohomology of stacks of shtukas

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  • UserCong Xue (CNRS)
  • ClockTuesday 07 May 2024, 16:00-17:00
  • HouseMR13.

If you have a question about this talk, please contact Jef Laga .

In this talk, I will recall briefly stacks of (global) shtukas and talk about two properties: outside the level, the proper direct image of the Satake sheaves is ind-lisse; at the level, the proper direct image commutes with nearby cycles. The last property is a joint work with Arnaud Eteve, and is used in the proof of local-global compatibility.

This talk is part of the Number Theory Seminar series.

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