4 papers
On the action of the center in the -adic categorical Langlands program
Konrad Zou
We discuss the action of the center in the categorical local Langlands program in the form of [FS24]. We provide a spectral description of the convolution action of a central torus…
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…
Categorical local Langlands for for parameters of Langlands-Shahidi type with integral coefficients
Konrad Zou
We prove the categorical form of Fargues' geometrization conjecture for along -parameters of Langlands-Shahidi type for rational, torsion, and integral coefficie…
Geometric Casselman-Shalika in mixed characteristic
Ashwin Iyengar, Milton Lin, Konrad Zou
We establish a geometric analog of the Casselman-Shalika formula for a split connected reductive group over a mixed characteristic local field. In particular, we construct sheaves…