Title	Symplectic Structures on the moduli space of Schodinger Equations on Riemann Surfaces of fixed genus and the Goldman Bracket.
Creator	Norton, Chaya
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-09-03T09:38
Description	We will give a brief overview of the results contained in joint work with Bertola and Korotkin. The moduli space of Schodinger Equations over $M_g$ can be equipped with a symplectic structure by choosing a base section and identifying with $T^*M_g$. We prove homological coordinates are Darboux coordinates and characterize base sections giving equivalent symplectic structures. In addition we show the monodromy map is a symplectomorphism for base section Schottky, Wringer, and Bergman. These results can be compared with Kawai '96 (more recently Loustou '15, Takhtajan '17) where the map is shown to be a symplectomorphism with base Bers.
Extent	30.0 minutes
Subject	Mathematics; Partial differential equations; Algebraic geometry; Dynamical systems
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Concordia University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-04-03
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0377760
URI	http://hdl.handle.net/2429/69415
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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Symplectic Structures on the moduli space of Schodinger Equations on Riemann Surfaces of fixed genus and the Goldman Bracket. Norton, Chaya

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