Title	Enriched $\infty$-operads
Creator	Chu, Hongyi
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-05-10T15:00
Description	We introduce enriched $\infty$-operads as certain presheaves which generalize Barwick's complete Segal operads. The simple structure of the indexing categories allows us to define algebras between enriched $\infty$-operads. By comparing this presheaf model with an enriched version of Moerdijk-Cisinski's dendroidal Segal spaces, we then prove a rectification theorem which states that the homotopy theory of $\infty$-operads enriched in a nice symmetric monoidal model category is equivalent to that of strictly enriched operads. From this we can easily infer that all established models for $\infty$-operads are equivalent to simplicially enriched operads. The talk is based on joint work with Rune Haugseng.
Extent	52.0
Subject	Mathematics; Algebraic topology; Category theory; homological algebra
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Lille
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2019-03-25
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0377436
URI	http://hdl.handle.net/2429/69194
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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