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15 January 2016 Modular perverse sheaves on flag varieties, II: Koszul duality and formality
Pramod N. Achar, Simon Riche
Duke Math. J. 165(1): 161-215 (15 January 2016). DOI: 10.1215/00127094-3165541

Abstract

Building on the theory of parity sheaves due to Juteau, Mautner, and Williamson, we develop a formalism of “mixed modular perverse sheaves” for varieties equipped with a stratification by affine spaces. We then give two applications: (1) a “Koszul-type” derived equivalence relating a given flag variety to the Langlands dual flag variety and (2) a formality theorem for the modular derived category of a flag variety (extending a previous result of Riche, Soergel, and Williamson).

Citation

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Pramod N. Achar. Simon Riche. "Modular perverse sheaves on flag varieties, II: Koszul duality and formality." Duke Math. J. 165 (1) 161 - 215, 15 January 2016. https://doi.org/10.1215/00127094-3165541

Information

Received: 3 February 2014; Revised: 20 December 2014; Published: 15 January 2016
First available in Project Euclid: 19 October 2015

zbMATH: 1375.14162
MathSciNet: MR3450745
Digital Object Identifier: 10.1215/00127094-3165541

Subjects:
Primary: 14M15
Secondary: 14F05 , 20G40

Keywords: flag varieties , Koszul duality , modular perverse sheaves , self-duality and formality

Rights: Copyright © 2016 Duke University Press

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Vol.165 • No. 1 • 15 January 2016
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