Title	Moduli spaces of q-connections and gap probabilities
Creator	Knizel, Alisa
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-10-06T15:28
Description	We will talk about a generalized $q$-analogue of methods introduced by Arinkin and Borodin. In particular we will explain how the one-interval gap probability function for the $q$-Hahn orthogonal polynomial ensemble can be expressed through a solution of the asymmetric $q$-Painlev\'e V equation, which requires a new derivation of a $q$-difference equation of Sakai's hierarchy of type $A_{2}^{(1)}.$ Our approach is based on the analysis of $q$-connections on $\mathbf P^1$ with a particular singularity structure.
Extent	14 minutes
Subject	Mathematics; Ordinary differential equations; Dynamical systems and ergodic theory; Dynamical systems
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Massachusetts Institute of Technology
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-04-07
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0343500
URI	http://hdl.handle.net/2429/61142
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Graduate
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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