Linear Koszul duality

DOI10.1112/S0010437X09004357zbMath1275.14014arXiv0804.0923MaRDI QIDQ3558870

Simon Riche, Ivan Mirković

Publication date: 10 May 2010

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.0923

zbMATH Keywords

Koszul dualitydg-schemesderived intersectionsheaves of dg-algebras

Mathematics Subject Classification ID

Related Items (11)

Equivariant Matrix Factorizations and Hamiltonian reduction ⋮ On two geometric realizations of an affine Hecke algebra ⋮ Basic structures on derived critical loci ⋮ Variation of geometric invariant theory quotients and derived categories ⋮ Linear Koszul duality, II: coherent sheaves on perfect sheaves ⋮ Modular perverse sheaves on flag varieties. II: Koszul duality and formality. ⋮ Reductive groups, the loop Grassmannian, and the Springer resolution ⋮ Singular support of coherent sheaves and the geometric Langlands conjecture ⋮ The homological projective dual of ⋮ Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence ⋮ Mirabolic Satake equivalence and supergroups

Cites Work

• Fourier transform and the Iwahori-Matsumoto involution
• Algebraic bundles over \(\mathbb P^n\) and problems of linear algebra
• Equivariant cohomology, Koszul duality, and the localization theorem
• Induced and simple modules of double affine Hecke algebras.
• Derived quot schemes
• Equivariant homology and K-theory of affine Grassmannians and Toda lattices
• Dualite Dans Le Groupe De Grothendieck De La Categorie Des Representations Lisses De Longueur Finie D'un Groupe Reductif p-Adique
• Koszul Duality Patterns in Representation Theory

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