Proves a generic categorical local Langlands correspondence for many quasi-split reductive p-adic groups via a fully faithful functor from generic Bernstein blocks to ind-coherent sheaves on L-parameter moduli stacks, generalizing the GL_n case.
Title resolution pending
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
years
2026 3verdicts
UNVERDICTED 3representative citing papers
Program to prove categorical local Langlands conjecture via compatibility hypothesis for GL_n, induction on Levi subgroups for general groups, plus new spectral finiteness, duality, and admissible ind-coherent sheaf results.
Models Rozansky-Witten theory of T*X via sheaves of categories from Perf(X×A¹), constructing hybrid Lagrangian objects whose Homs are matrix factorizations.
citing papers explorer
-
A generic categorical local Langlands correspondence for quasi-split reductive groups
Proves a generic categorical local Langlands correspondence for many quasi-split reductive p-adic groups via a fully faithful functor from generic Bernstein blocks to ind-coherent sheaves on L-parameter moduli stacks, generalizing the GL_n case.
-
The categorical local Langlands conjecture
Program to prove categorical local Langlands conjecture via compatibility hypothesis for GL_n, induction on Levi subgroups for general groups, plus new spectral finiteness, duality, and admissible ind-coherent sheaf results.