Title	Strata of k-differentials
Creator	Chen, Dawei
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-05-09T16:00
Description	A k-differential is a section of the k-th power of the cotangent bundle on a Riemann surface. The space of k-differentials is stratified by prescribing the number and multiplicities of their zeros and poles. The cases of abelian and quadratic differentials, corresponding to k=1 and k=2 respectively, exhibit fascinating geometry that arises from the associated flat structures, which provide us a good understanding of the dimension, local coordinates, connected components, and compactification for the strata. In this talk I will report some recent work in progress that studies these aspects of the strata of k-differentials for general k. It is part of a joint project with Bainbridge, Gendron, Grushevsky, and Moeller.
Extent	63 minutes
Subject	Mathematics; Dynamical systems and ergodic theory; Algebraic geometry; Dynamical systems
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Boston College
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2016-11-08
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0320941
URI	http://hdl.handle.net/2429/59665
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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Strata of k-differentials Chen, Dawei

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