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Tools for understanding topological coHochschild homology

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HHH - Homotopy harnessing higher structures

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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