4 papers · 1 filter
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…
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…
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…
Beijing notes on the categorical local Langlands conjecture
David Hansen
We formulate some refinements and complements to the categorical local Langlands conjecture of Fargues-Scholze. In particular, we state the expected compatibilities with Eisenstein…