Title	Localization of monads via subunits
Creator	Dicaire, Nuiok
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2021-06-18T14:00
Description	Given a â globalâ monad, one wishes to obtain â localâ monads such that these locally behave like the global monad. In this talk, I will provide an overview of how subunits can be used to provide a notion of localisation on monads. I will start by introducing subunits, a special kind of subobject of the unit in a monoidal category. Afterwards, I will provide two equivalent ways of understanding the localisation of monads. The first involves a strength on subunits, while the second relies on the formal theory of graded monads. I will also explain how to construct one from the other.
Extent	21.0 minutes
Subject	Mathematics; Category Theory; Algebraic Topology; Algebraic Structures; Homological Algebra
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Edinburgh
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2023-10-30
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0437417
URI	http://hdl.handle.net/2429/86394
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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