Work

A note on the cohomology of moduli spaces of local shtukas

Year: 2025

Type: article

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.

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.70194

Authors: David Hansen, Christian Johansson

Institutions: National University of Singapore, Chalmers University of Technology, University of Gothenburg

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,930

Funders: National University of Singapore, Vetenskapsrådet