Title	Representations in certain Hitchin fibers
Creator	li, qiongling
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-07-06T09:17
Description	The moduli space of SL(n,C)-Higgs bundles over a Riemann surface admits a Hitchin fibration over the space of holomorphic differentials on the Riemann surface. In this talk, we focus on Hitchin fibers at (q2,0,...,0), that is, the fibers containing Fuchsian locus. We show a comparison theorem on the length spectrum between surface group representations in such fibers with Fuchsian ones, as a generalization of the SL(2,C) case shown by Deroin and Tholozan.
Extent	55.0
Subject	Mathematics; Differential geometry; Global analysis, analysis on manifolds
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Caltech
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2019-03-30
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0377686
URI	http://hdl.handle.net/2429/69351
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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