Nearby cycles and the cohomology of shtukas

V. Lafforgue constructed Langlands parameters from automorphic forms for any reductive group over a function field using excursion operators. Our aim is to give a general approach for proving certain local-global compatibilities satisfied by these Langlands parameters. The main consequence for the...

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Bibliographic Details
Main Author: Salmon, Andrew
Other Authors: Yun, Zhiwei
Format: Thesis
Published: Massachusetts Institute of Technology 2023
Online Access:https://hdl.handle.net/1721.1/151364
https://orcid.org/0000-0002-9901-399X