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pro vyhledávání: '"Hansen, david"'
We develop the theory of geometric Eisenstein series and constant term functors for $\ell$-adic sheaves on stacks of bundles on the Fargues-Fontaine curve. In particular, we prove essentially optimal finiteness theorems for these functors, analogous
Externí odkaz:
http://arxiv.org/abs/2409.07363
Autor:
Hansen, David, Johansson, Christian
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 cohomology of moduli spaces of local shtukas under certain genericity assum
Externí odkaz:
http://arxiv.org/abs/2404.04083
Autor:
Hansen, David
A boy who appears in a dream is called Nemo by those who address him, andbelieves himself to be eleven years-old. Throughout this anxious and unsettling dream,many people come and go through "Nemo's" bedroom, most significantly The Man, whothreatens
Autor:
Hansen, David
We formulate some refinements and complements to the categorical local Langlands conjecture of Fargues-Scholze. In particular, we state the expected compatibilities with Eisenstein series and duality, and explain some of their consequences. We also b
Externí odkaz:
http://arxiv.org/abs/2310.04533
Autor:
Hansen, David, Zavyalov, Bogdan
We prove a number of results on the \'etale cohomology of rigid analytic varieties over $p$-adic non-archimedean local fields. Among other things, we establish bounds for Frobenius eigenvalues, show a strong version of Grothendieck's local monodromy
Externí odkaz:
http://arxiv.org/abs/2301.01800