A note on the cohomology of moduli spaces of local shtukas
Abstract We study localized versions of spectral action of Fargues–Scholze, using methods from higher algebra. As our main motivation and application, we deduce a formula for the cohomology of moduli spaces of local shtukas under certain genericity assumptions, and discuss its relation with the Kottwitz conjecture.
Authors
- David J. Hansen (ORCID: https://orcid.org/0000-0001-6807-2543)
- Christian Johansson (ORCID: https://orcid.org/0000-0003-4466-9518)
Institutions
- National University of Singapore (SG)
- Chalmers University of Technology (SE)
- University of Gothenburg (SE)
Publication Details
- Journal
- Bulletin of the London Mathematical Society
- Published
- 2025-09-12
- DOI
- https://doi.org/10.1112/blms.70194
- Primary Topic
- Advanced Algebra and Geometry
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National University of Singapore
- Vetenskapsrådet