Coherent sheaves on the stack of Langlands parameters
arXiv:2008.02998
Abstract
We formulate a few conjectures on some hypothetical coherent sheaves on the stacks of arithmetic local Langlands parameters, including their roles played in the local-global compatibility in the Langlands program. We survey some known results as evidences of these conjectures.
Final version, to appear in the Proceedings of the 2022 IHES Summer School on the Langlands program
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Cited by in corpus (6)
- Coherent Springer theory and the categorical Deligne-Langlands correspondence
- The Jacobson--Morozov morphism for Langlands parameters in the relative setting
- Families of Canonical Local Periods on Spherical Varieties
- Automorphic functions as the trace of Frobenius
- Averaging functors in Fargues' program for GL_n
- Moduli stacks of (phi,Gamma)-modules: a survey