Title	An \(E_{\infty}\) motivic \(2\)-cell complex and applications
Creator	Gheorghe, Bogdan
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-05-23T16:33
Description	By work of Hu-Kriz-Ormsby, Isaksen exhibits a motivic \(2\)-cell complex that has bigraded homotopy groups isomorphic to the classical Adams-Novikov \( E_2 \)-page for the sphere \( S^0 \). We show how to endow this \(2\)-cell complex with an \( E_{\infty}\)-ring structure, upgrading this isomorphism to an isomorphism of highly structured rings. We then show how to exploit this \(2\)-cell to construct a spectrum which we call \(wBP\), whose homotopy is polynomial in the new periodic motivic operators \(w_i\) introduced by Michael Andrews et al.
Extent	48 minutes
Subject	Mathematics; Algebraic topology; Category theory; homological algebra
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Wayne State University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-01-26
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0339873
URI	http://hdl.handle.net/2429/59768
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Graduate
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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