A note on the cohomology of moduli spaces of local shtukas

Artikel i vetenskaplig tidskrift, 2025

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.