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math.NT2024
Geometric Eisenstein series I: finiteness theorems
Linus Hamann, David Hansen, Peter Scholze
We develop the theory of geometric Eisenstein series and constant term functors for -adic sheaves on stacks of bundles on the Fargues-Fontaine curve. In particular, we prove…
math.NT2024
A note on the cohomology of moduli spaces of local shtukas
David Hansen, Christian Johansson
We study localized versions of the spectral action of Fargues--Scholze, using methods from higher algebra. As our main motivation and application, we deduce a formula for the cohom…