The universal monodromic Arkhipov-Bezrukavnikov equivalence identifies universal monodromic Iwahori-Whittaker sheaves with quasicoherent sheaves on the Grothendieck alteration, plus a monoidal bi-Whittaker equivalence.
Chtoucas restreints pour les groupes r\'eductifs et param\'etrisation de Langlands locale
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We associate to every irreducible representation of a reductive group over a local field of equal characteristics a local Langlands parameter up to semisimplification and prove the compatibility with the global parameterization constructed by the second author. Our method involves stacks of restricted shtukas (which are analogues of truncated Barsotti-Tate groups) and nearby cycles over arbitrary bases.
fields
math.RT 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
The universal monodromic Arkhipov--Bezrukavnikov equivalence
The universal monodromic Arkhipov-Bezrukavnikov equivalence identifies universal monodromic Iwahori-Whittaker sheaves with quasicoherent sheaves on the Grothendieck alteration, plus a monoidal bi-Whittaker equivalence.