2 papers
math.NT2026
The categorical local Langlands conjecture
David Hansen, Lucas Mann
We formulate a program to prove the categorical local Langlands conjecture (CLLC) of Fargues-Scholze, for all quasisplit -adic groups where the Fargues-Scholze -parameters ag…
math.NT2025
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…