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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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2-Verma modules
Grégoire Naisse,Pedro Vaz +1 more
TL;DR: In this paper, the authors construct a categorification of parabolic Verma modules for symmetrizable Kac-Moody algebras using KLR-like diagrammatic algesbras.
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Travaux de Frenkel, Gaitsgory et Vilonen sur la correspondance de Drinfeld-Langlands
TL;DR: In this article, a geometric analog of the Langlands correspondence in the function field case was discovered, which extends the geometric class field theory of Lang and Rosenlicht, and the so called Drinfeld-Langlands correspondence is a conjectural duality between two moduli spaces.
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Equivariant Novikov Inequalities
Maxim Braverman,Michael Farber +1 more
TL;DR: In this paper, an equivariant generalization of the Novikov inequalities is proposed, which allows to estimate the topology of the set of critical points of a closed basic invariant form by means of twisted equalivariant cohomology.
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Extended TQFT, Gauge Theory, AND 2-Linearization
TL;DR: In this article, a relation between a categorical quantization construction, called "2-linearization", and extended topological quantum field theory (ETQFT) is described, which incorporates cohomological twisting.
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Equivariant motives and geometric representation theory. (with an appendix by F. H\"ormann and M. Wendt).
TL;DR: In this article, the authors consider equivariant mixed Tate motives and give a full six-functor formalism for equivariants over a finite field or the homotopical stable algebraic derivator arising from the semisimplified Hodge realization.