A note on the cohomology of moduli spaces of local shtukas

Key Points

• The study establishes a formula for the cohomology of moduli spaces of local shtukas under specific genericity conditions.
• Key findings relate to the spectral action of Fargues–Scholze, showcasing its significance in higher algebra.
• Connections are drawn between the results and the Kottwitz conjecture, highlighting potential implications.
• Emphasizing higher algebra methods, the research advances understanding in cohomological aspects of moduli spaces.