Decomposition numbers for perverse sheaves

DOI10.5802/aif.2461zbMath1187.14022arXiv0803.2326OpenAlexW1515697173MaRDI QIDQ2390096

Daniel Juteau

Publication date: 20 July 2009

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.2326

zbMATH Keywords

torsion theoriesintersection cohomologydecomposition matricesintegral cohomologyperverse sheaves\(t\)-structuressimple singularitiesminimal nilpotent orbits

Mathematics Subject Classification ID

Related Items (24)

Decomposition numbers for perverse sheaves ⋮ Parity sheaves ⋮ Algebraic representations and constructible sheaves ⋮ Characteristic cycles of highest weight Harish-Chandra modules for \(\mathrm{Sp}(2n,\mathbb{R})\) ⋮ Modular intersection cohomology complexes on flag varieties ⋮ LECTURES ON THE GEOMETRY AND MODULAR REPRESENTATION THEORY OF ALGEBRAIC GROUPS ⋮ Study of parity sheaves arising from graded Lie algebras ⋮ Galois irreducibility implies cohomology freeness for KHT Shimura varieties ⋮ The cohomology of Lubin-Tate spaces is free ⋮ Integral exotic sheaves and the modular Lusztig–Vogan bijection ⋮ Parity sheaves, moment graphs and the \(p\)-smooth locus of Schubert varieties ⋮ On torsion in the intersection cohomology of Schubert varieties ⋮ Modular generalized Springer correspondence. II: Classical groups. ⋮ Regular holonomic \(\mathcal {D}\hbar\)-modules ⋮ Filtrations de stratification de quelques variétés de Shimura simples ⋮ Torsion pairs in recollements of abelian categories ⋮ Modular generalized Springer correspondence. I: The general linear group ⋮ A lower bound for composition multiplicities for the Springer resolution ⋮ Automorphic congruences and torsion in the cohomology of Harris-Taylor local systems ⋮ Generalizations of intersection homology and perverse sheaves with duality over the integers ⋮ Modular perverse sheaves on flag varieties. II: Koszul duality and formality. ⋮ A reducible characteristic variety in type A ⋮ Springer basic sets and modular Springer correspondence for classical types ⋮ Modular Koszul duality

Cites Work

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• Intersection homology. II
• Intersection cohomology complexes on a reductive group
• Cohomology of the minimal nilpotent orbit
• Simple singularities and simple algebraic groups
• Intersection homology theory
• La conjecture de Weil. II
• Fourier transforms on invariant functions on finite reductive Lie algebras
• The minimal degeneration singularities in the affine Grassmannians
• Decomposition numbers for perverse sheaves
• Geometric Langlands duality and representations of algebraic groups over commutative rings
• Dimension of a minimal nilpotent orbit
• Tilting in abelian categories and quasitilted algebras
• Categories and Sheaves
• Linear algebraic groups.

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