Non UBC
DSpace
Garver, Alexander
2019-04-29T09:26:21Z
2018-10-30T16:04
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.
https://circle.library.ubc.ca/rest/handle/2429/69975?expand=metadata
43.0
video/mp4
Author affiliation: Université du Québec à Montréal
Oaxaca (Mexico : State)
10.14288/1.0378489
eng
Unreviewed
Vancouver : University of British Columbia Library
Banff International Research Station for Mathematical Innovation and Discovery
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
Postdoctoral
BIRS Workshop Lecture Videos (Oaxaca (Mexico : State))
Mathematics
Algebraic geometry
Associative rings and algebras
Representation theory
Semistable subcategories and noncrossing tree partitions
Moving Image
http://hdl.handle.net/2429/69975