Description

Book Synopsis
Since its inception around 1980, the theory of perverse sheaves has been a vital tool of fundamental importance in geometric representation theory. This book gives a comprehensive account of constructible and perverse sheaves on complex algebraic varieties, and show how to put this to work in the context of geometric representation theory.

Table of 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
  • Category theory and homological algebra
  • Calculations on $\mathbb{C}^n$
  • Quick reference
  • Bibliography
  • Index of notation
  • Index

Perverse Sheaves and Applications to

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    Order before 4pm today for delivery by Sat 8 Aug 2026.

    A Paperback / softback by Pramod N. Achar

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      View other formats and editions of Perverse Sheaves and Applications to by Pramod N. Achar

      Publisher: American Mathematical Society
      Publication Date: Publication Date: 30/08/2022
      ISBN13: 9781470455972, 978-1470455972
      ISBN10: 1470455978

      Description

      Book Synopsis
      Since its inception around 1980, the theory of perverse sheaves has been a vital tool of fundamental importance in geometric representation theory. This book gives a comprehensive account of constructible and perverse sheaves on complex algebraic varieties, and show how to put this to work in the context of geometric representation theory.

      Table of 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
      • Category theory and homological algebra
      • Calculations on $\mathbb{C}^n$
      • Quick reference
      • Bibliography
      • Index of notation
      • Index

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