Title	Relating stability conditons and cluster varieties
Creator	Allegretti, Dylan
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-10-31T09:32
Description	I will describe the relationship between two spaces associated to a quiver with potential. The first is a complex manifold parametrizing Bridgeland stability conditions on a triangulated category, and the second is a cluster variety with a natural Poisson structure. For quivers of type $A$, I will describe a local biholomorphism from the space of stability conditions to the cluster variety. The existence of this map follows from results of Sibuya in the classical theory of ordinary differential equations.
Extent	47.0
Subject	Mathematics; Algebraic geometry; Associative rings and algebras; Representation theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Sheffield
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2019-04-30
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0378517
URI	http://hdl.handle.net/2429/69995
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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