Description

Book Synopsis
This book is based on lectures given at the Graduate Summer School of the 2015 Park City Mathematics Institute program, “Geometry of moduli spaces and representation theory”, and is devoted to several interrelated topics in algebraic geometry, topology of algebraic varieties, and representation theory.

Table of Contents
  • M. A. de Cataldo, Perverse sheaves and the topology of algebraic varieties
  • X. Zhu, An introduction to affine Grassmannians and the geometric Satake equivalaence
  • Z. Yun, Lectures on Springer theories and orbital intgegrals
  • N. G. Chau, Perverse sheaves and fundamental lemmas
  • A. Okounkov, Lectures on $K$-theoretic computations in enumerative geometry
  • H. Nakajima, Lectures on perverse sheaves on instanton moduli spaces.

    Geometry of Moduli Spaces and Representation

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      A Hardback by Roman Bezrukavnikov, Alexander Braverman, Zhiwei Yun

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        Publisher: MP-AMM American Mathematical
        Publication Date: 12/30/2017 12:00:00 AM
        ISBN13: 9781470435745, 978-1470435745
        ISBN10: 1470435748

        Description

        Book Synopsis
        This book is based on lectures given at the Graduate Summer School of the 2015 Park City Mathematics Institute program, “Geometry of moduli spaces and representation theory”, and is devoted to several interrelated topics in algebraic geometry, topology of algebraic varieties, and representation theory.

        Table of Contents
        • M. A. de Cataldo, Perverse sheaves and the topology of algebraic varieties
        • X. Zhu, An introduction to affine Grassmannians and the geometric Satake equivalaence
        • Z. Yun, Lectures on Springer theories and orbital intgegrals
        • N. G. Chau, Perverse sheaves and fundamental lemmas
        • A. Okounkov, Lectures on $K$-theoretic computations in enumerative geometry
        • H. Nakajima, Lectures on perverse sheaves on instanton moduli spaces.

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