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Perverse sheaves and applications to representation theory / Pramod N. Achar.

By: Achar, Pramod N, 1976- [author.].
Material type: TextTextSeries: Mathematical surveys and monographs, volume 258.Publisher: Providence, Rhode Island : American Mathematical Society, [2021]Description: xii, 562 pages : USD 125.00 illustrations ; 26 cm.Content type: text | still image Media type: unmediated Carrier type: volumeISBN: 9781470455972.Subject(s): Sheaf theory | Representations of groups | Linear algebraic groups | Several complex variables and analytic spaces -- Complex singularities -- Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) | Group theory and generalizations -- Linear algebraic groups and related topics -- Representation theory for linear algebraic groups | Algebraic geometry -- Special varieties -- Grassmannians, Schubert varieties, flag manifolds | Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Coadjoint orbits; nilpotent varieties | Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Quantum groups (quantized enveloping algebras) and related deformationsDDC classification: 514.224 Other classification: 32S60 | 20G05 | 14M15 | 17B08 | 17B37 Also issued online.
Contents:
Sheaf theory -- Constructible sheaves on complex algebraic varieties -- Perverse sheaves -- Nearby and vanishing cycles -- Mixed sheaves -- Equivariant derived categories -- Kazhdan-Lusztig theory -- Springer theory -- The geometric Satake equivalence -- Quiver representations and quantum groups.
List(s) this item appears in: 2023-03-06
Item type Current location Call number Status Date due Barcode Item holds
Book Chennai Mathematical Institute
General Stacks
514.224 ACH (Browse shelf) Checked out 20/08/2024 00:00 11036
Total holds: 0

Formerly CIP. Uk

Includes bibliographical references (pages 545-556) and index.

Sheaf theory -- Constructible sheaves on complex algebraic varieties -- Perverse sheaves -- Nearby and vanishing cycles -- Mixed sheaves -- Equivariant derived categories -- Kazhdan-Lusztig theory -- Springer theory -- The geometric Satake equivalence -- Quiver representations and quantum groups.

Also issued online.