Title	Algebraic Harder-Narasimhan filtrations
Creator	Treffinger, Hipolito
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-11-01T16:04
Description	In this talk we introduce the notion of an indexed chain of torsion classes in an abelian length category $\mathcal{A}$ and we show that any such chain induce a Harder-Narasimhan (like) filtration for every object in $\mathcal{A}$. Later, building on this result, we compare the properties of indexed chains of torsion classes with the stability functions introduced by Rudakov. Finally, following ideas of Bridgeland, we show that the space of all chains of torsion classes induced by the interval $[0,1]$ form a topological space having a wall and chamber structure and we characterise its chambers.
Extent	43.0
Subject	Mathematics; Algebraic geometry; Associative rings and algebras; Representation theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Leicester
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2019-05-01
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0378535
URI	http://hdl.handle.net/2429/70013
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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