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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      Publisher: MP-AMM American Mathematical
      Publication Date: 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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