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This is a Quantitative Study study.

A note on the cohomology of moduli spaces of local shtukas

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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.

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This analysis deduces a formula for cohomology of moduli spaces of local shtukas, suggesting connections to the Kottwitz conjecture.

Hansen et al. (2025) studied this question.

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