The stable Bernstein center and test functions for Shimura varieties
From MaRDI portal
Publication:2822606
zbMath1377.11064arXiv1304.6293MaRDI QIDQ2822606
Publication date: 30 September 2016
Full work available at URL: https://arxiv.org/abs/1304.6293
Arithmetic aspects of modular and Shimura varieties (11G18) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)
Related Items
ON THE COHOMOLOGY OF SOME SIMPLE SHIMURA VARIETIES WITH BAD REDUCTION ⋮ Langlands classification for L-parameters ⋮ Generalizations of the Springer correspondence and cuspidal Langlands parameters ⋮ Dualities for root systems with automorphisms and applications to non-split groups ⋮ Centre de Bernstein dual pour les groupes classiques ⋮ On the derived category of the Iwahori–Hecke algebra ⋮ Compatibility of semisimple local Langlands parameters with parahoric Satake parameters ⋮ Weakly unramified representations, finite morphisms, and Knapp-Stein \(R\)-groups ⋮ Points on Shimura varieties modulo primes ⋮ Arithmetic and geometric Langlands program ⋮ A local Langlands correspondence for unipotent representations ⋮ Iwahori-Hecke algebra and unramified local \(L\)-functions ⋮ Hecke algebras for \(p\)-adic reductive groups and local Langlands correspondences for Bernstein blocks ⋮ Smith theory and cyclic base change functoriality ⋮ Unipotent \(\ell\)-blocks for simply connected \(p\)-adic groups ⋮ The test function conjecture for local models of Weil-restricted groups ⋮ Integral models of Shimura varieties with parahoric level structure ⋮ Conjectures about 𝑝-adic groups and their noncommutative geometry ⋮ A functoriality principle for blocks of 𝑝-adic linear groups ⋮ Proof of the Aubert-Baum-Plymen-Solleveld conjecture for split classical groups ⋮ The test function conjecture for parahoric local models ⋮ Bernstein center of supercuspidal blocks ⋮ Sur les -blocs de niveau zéro des groupes -adiques ⋮ ON THE -ADIC COHOMOLOGY OF SOME -ADICALLY UNIFORMIZED SHIMURA VARIETIES ⋮ Homological branching law for \((\mathrm{GL}_{n+1}(F), \mathrm{GL}_n(F))\): projectivity and indecomposability
