Constructible sheaves on affine Grassmannians and geometry of the dual nilpotent cone
type: Item
instance of: scholarly article
title: Constructible sheaves on affine Grassmannians and geometry of the dual nilpotent cone
zbMATH Open document ID: 1329.14092
author: Pramod N. Achar
author: Simon Riche
published in: Israel Journal of Mathematics
publication date: 2015-04-02T00:00:00Z
full work available at URL: https://arxiv.org/abs/1102.2821
review text: The authors describe the derived category (and a mixed version) of sheaves on the affine Grassmannian of a complex reductive group \(\check{G}\), constructible with respect to the stratification by \(\check{G}(\mathbbx)\)-orbits, in terms of coherent sheaves on the nilpotent cone of the Langlands dual reductive group \(G\). In the mixed case, they show that restriction to the nilpotent cone of a Levi subgroup corresponds to hyperbolic localization on affine Grassmannians.
Mathematics Subject Classification ID: 14L17
Mathematics Subject Classification ID: 20G99
zbMATH DE Number: 6422789
zbMATH Keywords: reductive group
zbMATH Keywords: orbit
zbMATH Keywords: derived category
reviewed by: Vladimir L. Popov
MaRDI profile type: Publication
OpenAlex ID: W2163714598
arXiv ID: 1102.2821
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DOI: 10.1007/S11856-014-1132-X
description: scientific article