Title	Waldhausen K-theory and topological coHochschild homology
Creator	Hess, Kathryn
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-04-30T14:59
Description	I will present joint work with Brooke Shipley, in which we have defined a model category structure on the category of \( \Sigma^{\infty}X_+\)-comodule spectra such that the K-theory of the associated Waldhausen category of homotopically finite objects is naturally weakly equivalent to the usual Waldhausen K-theory of \( X\), \( A(X)\). I will describe the relation of this comodule approach to \( A(X)\) to the more familiar description in terms of \( \Sigma^\infty \Omega X_+\)-module spectra. I will also explain the construction and properties of the topological coHochschild homology of \( X\), which is a potentially interesting approximation to \( A(X)\).
Extent	62 minutes
Subject	Mathematics; General topology; Algebraic topology
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Ecole Polytechnique Federale de Lausanne
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2016-10-30
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0320826
URI	http://hdl.handle.net/2429/59589
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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