Title	Coarse density of projection of strata to moduli space
Creator	Dozier, Benjamin
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-05-31T10:46
Description	There is a natural forgetful map p from a stratum H of abelian differentials to the moduli space of Riemann surfaces that takes a pair (X,w) to X. What are the coarse properties of this map p In particular, when is the image coarsely dense with respect to the Teichmuller metric on moduli space We answer this question for all strata by showing that the projection is coarsely dense iff it is topologically dense. The proof uses a new compactification of strata due to Bainbridge-Chen-Gendron-Grushevsky-Moller. This is joint work with Jenya Sapir.
Extent	43.0 minutes
Subject	Mathematics; Dynamical systems and ergodic theory; Algebraic geometry; Dynamical systems
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Stony Brook University
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2019-11-28
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0386017
URI	http://hdl.handle.net/2429/72456
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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