Title	Four dimensional tangles, finite type invariants and Lie theory
Creator	Dancso, Zsusanna
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-11-04T14:30
Description	I will explain (older) joint work with Dror Bar-Natan on the relationship between 4-dimensional knot theory and Lie theory. On the knot theory side, this involves finite type invariants of welded knotted objects, in other words, a certain class of 4-dimensional tangles. On the Lie theory side stands the Kashiwara-Vergne problem, a famous problem that was first solved, after nearly 30 years, in 2006 by Alekseev and Meinrenken. I will also aim to describe more recent efforts to connect this work to related results of Alekseev-Kawazumi-Kuno-Naef, who provide a different topological interpretation of the Kashiwara-Vergne problem in terms of homotopy classes of loops on surfaces.
Extent	51.0 minutes
Subject	Mathematics; Manifolds And Cell Complexes
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Sydney
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2020-05-03
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0390292
URI	http://hdl.handle.net/2429/74266
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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