Mixed Perverse Sheaves on Flag Varieties for Coxeter Groups

DOI10.4153/CJM-2018-034-0zbMath1468.20071arXiv1802.07651OpenAlexW2964078470WikidataQ129488579 ScholiaQ129488579MaRDI QIDQ5208710

Simon Riche, Pramod N. Achar, Cristian Vay

Publication date: 9 January 2020

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.07651

zbMATH Keywords

Coxeter groupflag varietyperverse sheaf

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

Related Items (2)

Monodromic model for Khovanov-Rozansky homology ⋮ On monoidal Koszul duality for the Hecke category

Cites Work

• Parity sheaves on the affine Grassmannian and the Mirković-Vilonen conjecture
• The Hodge theory of Soergel bimodules.
• Karoubianness of a triangulated category
• Representations of Coxeter groups and Hecke algebras
• Exotic tilting sheaves, parity sheaves on affine Grassmannians, and the Mirković-Vilonen conjecture
• Reductive groups, the loop Grassmannian, and the Springer resolution
• Kac-Moody groups, their flag varieties and representation theory
• The category \(\mathcal O\) for a general Coxeter system
• Curve neighborhoods of Schubert varieties
• Light leaves and Lusztig's conjecture
• Triangulated Categories
• Linear Koszul duality, II: coherent sheaves on perfect sheaves
• Parity sheaves
• Standard objects in 2-braid groups
• The p-canonical basis for Hecke algebras
• Localization theory for triangulated categories
• Singular Soergel Bimodules
• The combinatorics of Coxeter categories
• Geometric braid group action on derived categories of coherent sheaves
• Tilting modules and the p-canonical basis
• Koszul Duality Patterns in Representation Theory
• Koszul duality for Kac–Moody groups and characters of tilting modules
• KAZHDAN-LUSZTIG-POLYNOME UND UNZERLEGBARE BIMODULN ÜBER POLYNOMRINGEN
• The affine Grassmannian and the Springer resolution in positive characteristic
• Soergel calculus
• A Note on Riemann Surfaces of Large Systole
• Modular perverse sheaves on flag varieties. II: Koszul duality and formality.
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