Exotic tilting sheaves, parity sheaves on affine Grassmannians, and the Mirković-Vilonen conjecture

DOI10.4171/JEMS/812zbMath1401.14097arXiv1501.07369WikidataQ123357121 ScholiaQ123357121MaRDI QIDQ1784002

Simon Riche, Carl Mautner

Publication date: 21 September 2018

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.07369

zbMATH Keywords

affine Grassmannianparity sheavesSpringer resolutionexotic t-structureMirković-Vilonen conjecture

Mathematics Subject Classification ID

Related Items (21)

Parity sheaves on the affine Grassmannian and the Mirković-Vilonen conjecture ⋮ Algebraic representations and constructible sheaves ⋮ Hecke action on the principal block ⋮ Modular perverse sheaves on flag varieties III: Positivity conditions ⋮ Hecke category actions via Smith–Treumann theory ⋮ Integral exotic sheaves and the modular Lusztig–Vogan bijection ⋮ Smith theory and cyclic base change functoriality ⋮ The affine Grassmannian and the Springer resolution in positive characteristic ⋮ Notes on the Geometric Satake Equivalence ⋮ The p-canonical basis for Hecke algebras ⋮ On monoidal Koszul duality for the Hecke category ⋮ Kostant section, universal centralizer, and a modular derived Satake equivalence ⋮ Reductive groups, the loop Grassmannian, and the Springer resolution ⋮ Mixed Perverse Sheaves on Flag Varieties for Coxeter Groups ⋮ Koszul duality for Kac–Moody groups and characters of tilting modules ⋮ Parity sheaves and Smith theory ⋮ A simple character formula ⋮ An Iwahori-Whittaker model for the Satake category ⋮ On the Humphreys conjecture on support varieties of tilting modules ⋮ Smith-Treumann theory and the linkage principle ⋮ Integral motivic sheaves and geometric representation theory

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