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Tools for understanding topological coHochschild homology

Presented by: 
Anna Marie Bohmann Vanderbilt University
Date: 
Tuesday 13th November 2018 - 15:30 to 16:30
Venue: 
INI Seminar Room 2
Abstract: 
Hochschild homology is a classical invariant of algebras.  A "topological" version, called THH, has important connections to algebraic K-theory, Waldhausen's A-theory, and free loop spaces.  For coalgebras, there is a dual invariant called "coHochschild homology" and Hess and Shipley have recently defined a topological version called "coTHH."  In this talk, I'll talk about coTHH (and THH) are defined and then discuss work with Gerhardt, Hogenhaven, Shipley and Ziegenhagen in which we develop some computational tools for approaching coTHH.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons