Description

Book Synopsis
Contains the proceedings of the Alpine Algebraic and Applied Topology Conference, held in August 2016. The papers cover a range of topics in modern algebraic topology, including the theory of highly structured ring spectra, infinity-categories and Segal spaces, equivariant homotopy theory, algebraic $K$-theory and topological cyclic, periodic, or Hochschild homology, and intersection cohomology.

Table of Contents
  • Characteristics for $\mathcal{E}_\infty$ ring spectra;
  • Segal objects and the Grothendieck construction;
  • Blown-up intersection cohomology;
  • Homotopically rigid Sullivan algebras and their applications;
  • theorem for split square-zero extensions of exact categories;
  • Four approaches to cohomology theories with reality;
  • Topological Hochschild homology and the Hasse-Weil zeta function;
  • The stable symplectic category and a conjecture of Kontsevich;
  • Universal Gysin formulas for the universal Hall-Littlewood functions;
  • Graded multiplications on iterated bar constructions;
  • Double homotopy (co)limits for relative categories.

An Alpine Bouquet of Algebraic Topology

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A Paperback by Christian Ausoni, Kathryn Hess, Brenda Johnson

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    View other formats and editions of An Alpine Bouquet of Algebraic Topology by Christian Ausoni

    Publisher: MP-AMM American Mathematical
    Publication Date: 8/30/2018 12:00:00 AM
    ISBN13: 9781470429119, 978-1470429119
    ISBN10: 147042911X

    Description

    Book Synopsis
    Contains the proceedings of the Alpine Algebraic and Applied Topology Conference, held in August 2016. The papers cover a range of topics in modern algebraic topology, including the theory of highly structured ring spectra, infinity-categories and Segal spaces, equivariant homotopy theory, algebraic $K$-theory and topological cyclic, periodic, or Hochschild homology, and intersection cohomology.

    Table of Contents
    • Characteristics for $\mathcal{E}_\infty$ ring spectra;
    • Segal objects and the Grothendieck construction;
    • Blown-up intersection cohomology;
    • Homotopically rigid Sullivan algebras and their applications;
    • theorem for split square-zero extensions of exact categories;
    • Four approaches to cohomology theories with reality;
    • Topological Hochschild homology and the Hasse-Weil zeta function;
    • The stable symplectic category and a conjecture of Kontsevich;
    • Universal Gysin formulas for the universal Hall-Littlewood functions;
    • Graded multiplications on iterated bar constructions;
    • Double homotopy (co)limits for relative categories.

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