Title	The Utility of Sheaves in Persistence
Creator	Curry, Justin
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-08-08T11:00
Description	In this talk I'll review some of the basic concepts of sheaf theory as it is relevant to persistence in one or more parameters. One of the themes that will be emphasized is how the same formalism can be used and simply by changing the underlying topology many different constructs in TDA can be obtained: multi-filtered homology (Alexandrov/gamma topology), level set persistence and Reeb spaces (Euclidean topology), the persistent homology transform and vineyards (mixture of Alexandrov and Euclidean topologies). Additionally, I'll describe how sheaves can be used to organize various counting problems associated to persistence.
Extent	55.0
Subject	Mathematics; Algebraic topology; Statistics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: SUNY Albany
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2019-03-24
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0377397
URI	http://hdl.handle.net/2429/69155
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

Open Collections

BIRS Workshop Lecture Videos