4 papers · 1 filter
Intersection Cohomology of Igusa Stacks
Ana Caraiani, Linus Hamann, Mingjia Zhang
We study the intersection cohomology of minimally compactified Shimura varieties of PEL type AC using Igusa stacks and the work of Fargues-Scholze. More precisely, we construct a s…
On the Schematic and Analytic Constructions of the Local Langlands Category
Ian Gleason, Linus Hamann, Alexander B. Ivanov +2
We prove a folklore conjecture identifying two categorical enhancements of the automorphic side of the local Langlands correspondence. Concretely, we construct an equivalence for t…
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…
Compatibility of the Fargues--Scholze correspondence for unitary groups
Alexander Bertoloni Meli, Linus Hamann, Kieu Hieu Nguyen
We study unramified unitary and unitary similitude groups in an odd number of variables. Using work of the first and third named authors on the Kottwitz Conjecture for the similitu…