Title	Rigidification of homotopy coherent commutative multiplications
Creator	Sagave, Steffen
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-05-24T09:01
Description	In this talk I will explain how the use of functors defined on the category \(I\) of finite sets and injections makes it possible to replace \(E\)-infinity objects by strictly commutative ones. For example, an \(E\)-infinity space can be replaced by a strictly commutative monoid in \(I\)-diagrams of spaces. The quasi-categorical version of this result is one building block for an interesting rigidification result about multiplicative homotopy theories: we show that every presentably symmetric monoidal infinity-category is represented by a symmetric monoidal model category. This is a report on joint work with Christian Schlichtkrull, with Dimitar Kodjabachev, and with Thomas Nikolaus.
Extent	59 minutes
Subject	Mathematics; Algebraic topology; Category theory; homological algebra
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Radboud University Nijmegen
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-01-25
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0339895
URI	http://hdl.handle.net/2429/59779
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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Rigidification of homotopy coherent commutative multiplications Sagave, Steffen

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