Title	Geometry and large N asymptotics in Laughlin states
Creator	Klevtsov, Semyon
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-07-20T10:30
Description	Laughlin states are N-particle wave functions, successfully describing the fractional quantum Hall effect (QHE) for plateaux with simple fractions. It was understood early on, that much can be learned about QHE when Laughlin states are considered on a Riemann surface. Mathematically, it is interesting to know how do the Laughlin states depend on the Riemannian metric, magnetic potential function, complex structure moduli, singularities -- for the large number of particles N. I will review the results, conjectures and further questions in this area, and relation to topics such as Coulomb gases/beta-ensembles, Bergman kernels for holomorphic line bundles, Quillen metric, zeta determinants.
Extent	52.0
Subject	Mathematics; Quantum theory; Global analysis, analysis on manifolds; Mathematical physics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Univ. Koln
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-03-13
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0376844
URI	http://hdl.handle.net/2429/68678
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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Geometry and large N asymptotics in Laughlin states Klevtsov, Semyon

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