Title	Introduction to tangent categories
Creator	Cruttwell, Geoffrey
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2021-06-14T15:06
Description	In this talk I'll introduce the idea of a tangent category, which can be seen as a minimal categorical setting for differential geometry. I'll discuss a variety of examples, and then focus on how analogs of vector spaces and (affine) connections can be defined in any tangent category. Time-permitting, I'll also briefly describe a few other structures that can be defined in a tangent category, including differential forms and (ordinary) differential equations and their solutions.
Extent	50.0 minutes
Subject	Mathematics; Category Theory; Homological Algebra; Algebraic Topology; Algebraic Structures
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Mount Allison 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	10.14288/1.0437399
URI	http://hdl.handle.net/2429/86375
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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