Title	Semistable subcategories and noncrossing tree partitions
Creator	Garver, Alexander
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-10-30T16:04
Description	Semistable subcategories were introduced in the context of Mumford's GIT and interpreted by King in terms of representation theory of finite dimensional algebras. Ingalls and Thomas later showed that for path algebras of Dynkin and extended Dynkin quivers, the poset of semistable subcategories is isomorphic to the corresponding lattice of noncrossing partitions. We classify semistable subcategories for a family of algebras each of which is defined by the choice of a partial triangulation of the disk. Our description also shows that each such semistable subcategory is equivalent to a generalized noncrossing partition. This is joint work with Monica Garcia.
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: Université du Québec à Montréal
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2019-04-29
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0378489
URI	http://hdl.handle.net/2429/69975
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

Open Collections

BIRS Workshop Lecture Videos

Semistable subcategories and noncrossing tree partitions Garver, Alexander

Description

Item Metadata

Item Media

Item Citations and Data

Rights