Coherent sheaves on the stack of Langlands parameters
Xinwen Zhu
TL;DR
This paper proposes conjectures about hypothetical coherent sheaves on stacks of Langlands parameters and discusses their potential role in local-global compatibility within the Langlands program, supported by known evidence.
Contribution
It introduces new conjectures on coherent sheaves on stacks of Langlands parameters and surveys existing results as evidence.
Findings
Conjectures on the role of coherent sheaves in Langlands program
Survey of known results supporting these conjectures
Potential implications for local-global compatibility
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic structures and combinatorial models · Nonlinear Waves and Solitons