Title	Relations between Higgs strata and deRham strata
Creator	Collier, Brian
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-07-05T12:16
Description	Both the Higgs bundle moduli space and the moduli space of flat connections have a natural stratification induced by a C* action. In both of these stratifications, each strata is a holomorphic fibration over a connected component of complex variations of Hodge structure. While the nonabelian Hodge correspondence provides a homeomorphism between Higgs bundles and flat connections, this homeomorphism does not preserve the respective strata. The closed strata on the Higgs bundle side is the image of the Hitchin section (the Hitchin component) and the closed strata in the space of flat connections is the space of opers. In this talk we will show how many of the relationships between opers and the Hitchin component extend to general strata. This is based on joint work with Richard Wentworth.
Extent	59.0
Subject	Mathematics; Differential geometry; Global analysis, analysis on manifolds
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Univ. of Maryland (College Park)
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2019-03-29
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0377656
URI	http://hdl.handle.net/2429/69338
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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Relations between Higgs strata and deRham strata Collier, Brian

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