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This is a Quantitative Study study.

September 30, 2025Open Access

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.

Abstract

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.

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Cite This Study

Hansen et al. (Fri,) studied this question.

synapsesocial.com/papers/68dc1e308a7d58c25ebb15eb https://doi.org/https://doi.org/10.1112/blms.70194

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