Summer School on the Langlands Program

Collection Summer School on the Langlands Program

Organizer(s) Pierre-Henri Chaudouard, Wee Teck Gan, Tasho Kaletha, Yiannis Sakellaridis

Date(s) 11/07/2022 - 29/07/2022

linked URL https://indico.math.cnrs.fr/event/6909/

00:00:00 / 00:00:00

27 58

Cohomology Sheaves of Stacks of Shtukas (1/2)

Cohomology sheaves and cohomology groups of stacks of shtukas are used in the Langlands program for function fields. We will explain (1) how the Eichler-Shimura relations imply the finiteness property of the cohomology groups, (2) how the finiteness and Drinfeld's lemma imply the action of the Weil group of the function field on the cohomology groups, and (3) how this action and the "Zorro lemma" imply the smoothness of the cohomology sheaves. The smoothness will be used in Sam Raskin’s lecture.

Information about the video

Date of recording 19/07/2022
Date of publication 19/07/2022
Institution IHES
Language English
Audience Researchers, Graduate Students
Format MP4

Domain(s)

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All the collection videos

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01:18:05

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published on July 19, 2022

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published on July 19, 2022

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01:06:01

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By Cong Xue

01:08:20

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published on July 21, 2022

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01:07:10

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01:24:15

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01:23:03

published on July 22, 2022

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01:03:25

published on July 24, 2022

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By Jessica Fintzen

01:07:10

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The Langlands Program and the Moduli of Bundles on the Curve (2/3)

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published on July 29, 2022

Derived Aspects of the Langlands Program (3/3)

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