Description

Book Synopsis
These papers give succinct and thorough introductions to some of the most important and exciting developments in algebraic geometry in the last decade. Included are descriptions of the striking advances in the Minimal Model Program, moduli spaces, derived categories, Bridgeland stability, motivic homotopy theory, methods in characteristic $p$ and Hodge theory.

Table of Contents
  • B. Lehmann, A snapshot of the Minimal Model Program
  • Z. Patakfalvi, K. Schwede, and K. Tucker, Positive characteristic algebraic geometry
  • O. Tommasi, The geometry of the moduli space of curves and abelian varieties
  • J. Huizenga, Birational geometry of moduli spaces of sheaves and Bridgeland stability
  • E. Clader, Gromov-Witten theory: From curve counts to string theory
  • D. Chen, Teichmuller dynamics in the eyes of an algebraic geometer
  • A. Auel and M. Bernardara, Cycles, derived categories, and rationality
  • C. Robles, Degenerations of Hodge structure
  • D. Erman and S. V. Sam, Questions about Boij-Soderberg theory
  • B. Antieau and E. Elmanto, A primer for unstable motivic homotopy theory.

    Surveys on Recent Developments in Algebraic Geometry

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      A Hardback by Izzet Coskun, Tommaso de Fernex, Angela Gibney

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        Publisher: MP-AMM American Mathematical
        Publication Date: Publication Date: 30/06/2017
        ISBN13: 9781470435578, 978-1470435578
        ISBN10:

        Description

        Book Synopsis
        These papers give succinct and thorough introductions to some of the most important and exciting developments in algebraic geometry in the last decade. Included are descriptions of the striking advances in the Minimal Model Program, moduli spaces, derived categories, Bridgeland stability, motivic homotopy theory, methods in characteristic $p$ and Hodge theory.

        Table of Contents
        • B. Lehmann, A snapshot of the Minimal Model Program
        • Z. Patakfalvi, K. Schwede, and K. Tucker, Positive characteristic algebraic geometry
        • O. Tommasi, The geometry of the moduli space of curves and abelian varieties
        • J. Huizenga, Birational geometry of moduli spaces of sheaves and Bridgeland stability
        • E. Clader, Gromov-Witten theory: From curve counts to string theory
        • D. Chen, Teichmuller dynamics in the eyes of an algebraic geometer
        • A. Auel and M. Bernardara, Cycles, derived categories, and rationality
        • C. Robles, Degenerations of Hodge structure
        • D. Erman and S. V. Sam, Questions about Boij-Soderberg theory
        • B. Antieau and E. Elmanto, A primer for unstable motivic homotopy theory.

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