Quantum groups, the loop Grassmannian, and the Springer resolution

DOI10.1090/S0894-0347-04-00454-0zbMath1061.17013arXivmath/0304173MaRDI QIDQ4813570

Sergey Arkhipov, Victor Ginzburg, Roman Bezrukavnikov

Publication date: 13 August 2004

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

Full work available at URL: https://arxiv.org/abs/math/0304173

zbMATH Keywords

cohomology triangulated categories principal blocks perverse sheaves bounded derived categories nilpotent cones character formulas Langlands dual loop Grassmannian Springer resolutions complex semisimple groups equivariant coherent sheaves intersection homology sheaves quantized enveloping algebras at roots of unity

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Rings arising from noncommutative algebraic geometry (16S38) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Cohomology theory for linear algebraic groups (20G10) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20)

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