Constructible sheaves on nilpotent cones in rather good characteristic - Archive ouverte HAL Access content directly
Journal Articles Selecta Mathematica (New Series) Year : 2017

Constructible sheaves on nilpotent cones in rather good characteristic

Abstract

We study some aspects of modular generalized Springer theory for a complex reductive group G with coefficients in a field k under the assumption that the characteristic l of k is rather good for G, i.e., l is good and does not divide the order of the component group of the centre of G. We prove a comparison theorem relating the characteristic-l generalized Springer correspondence to the characteristic-0 version. We also consider Mautner's characteristic-l 'cleanness conjecture'; we prove it in some cases; and we deduce several consequences, including a classification of supercuspidal sheaves and an orthogonal decomposition of the equivariant derived category of the nilpotent cone.
Fichier principal
Vignette du fichier
rather-good.pdf (373.09 Ko) Télécharger le fichier
Origin Files produced by the author(s)
Loading...

Dates and versions

hal-01223124 , version 1 (02-11-2015)

Identifiers

Cite

Pramod N. Achar, Anthony Henderson, Daniel Juteau, Simon Riche. Constructible sheaves on nilpotent cones in rather good characteristic. Selecta Mathematica (New Series), 2017, 23, pp.203-243. ⟨hal-01223124⟩
140 View
70 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More