Title	Weil spaces, and the embedding theorem for tangent categories
Creator	Garner, Richard
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2021-06-14T16:58
Description	The purpose of this tutorial is to introduce the enriched perspective on tangent categories: they are precisely categories (with certain colimits) enriched in the cartesian closed category of "Weil spaces". Here a "Weil space" is more or less what an algebraic geometer would call a "formal deformation problem": a nicely-behaved functor from a category of Weil algebras (= local Artinian algebras) into Sets. We also sketch how the enriched perspective on tangent categories allows us to prove an embedding theorem: every tangent category embeds fully and faithfully into a representable tangent category.
Extent	55.0 minutes
Subject	Mathematics; Category Theory; Homological Algebra; Algebraic Topology; Algebraic Structures
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Macquarie University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2023-10-28
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0437401
URI	http://hdl.handle.net/2429/86377
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Researcher
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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