Title	$\hat Z_a (q)$
Creator	Gukov, Sergei
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-03-13T10:31
Description	We will discuss various ways to define and compute new q-series invariants that have integer powers and integer coefficients. After a quick review of the physical framework, we show how it explains and generalizes the observations of Lawrence-Zagier and Hikami et.al. to arbitrary 3-manifolds. If time permits, we will talk about a modular tensor category MTC[M3] responsible for the modularity properties of \hat Z_a (q). There are many unexpected and intriguing connections with various counting problems as well as with the works of Beliakova-Blanchet-Le and Garoufalidis-Le.
Extent	61 minutes
Subject	Mathematics; Number theory; Manifolds and cell complexes
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: California Institute of Technology
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2018-09-10
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0371949
URI	http://hdl.handle.net/2429/67134
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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