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Equivariant Sheaves and Functors
Joseph Bernstein,Valery A. Lunts +1 more
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In this paper, the DG-modules and equivariant cohomology of toric varieties have been studied, and the derived category D G (X) and functors have been defined.Abstract:
Derived category D G (X) and functors.- DG-modules and equivariant cohomology.- Equivariant cohomology of toric varieties.read more
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Journal ArticleDOI
Character sheaves on unipotent groups in positive characteristic: foundations
TL;DR: In this article, the authors formulate and prove the main theorems of the theory of character sheaves on unipotent groups over an algebraically closed field of characteristic properties.
Journal ArticleDOI
Inducing stability conditions
TL;DR: In this article, stability conditions induced by functors between triangulated categories were studied and it was shown that the subset of invariant stability conditions embeds as a closed submanifold into the stability manifold of the derived category.
Journal ArticleDOI
On two geometric realizations of an affine Hecke algebra
TL;DR: The main result of as discussed by the authors is a categorification of the isomorphism between the affine affine Hecke algebra associated to a reductive group and Grothendieck group of equivariant coherent sheaves on Steinberg variety of Langlands dual group.
Journal ArticleDOI
Orbifold Cohomology as Periodic Cyclic Homology
TL;DR: In this paper, it is shown that for a finite group G acting on a smooth complex variety X, the same procedure applied to G-equivariant sheaves gives the orbifold cohomology of X/G.
Book ChapterDOI
Notes on the geometric Satake equivalence
Pierre Baumann,Simon Riche +1 more
TL;DR: In this paper, a detailed exposition of the proof of the Geometric Satake Equivalence for general coefficients is given, following Mirkovic-Vilonen's work.