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Preprojective algebras and Cluster categories
Multi angle
Authors : Iyama, Osamu (Author of the conference)
CIRM (Publisher )
16G20 - Representations of quivers and partially ordered sets
18E30 - Derived categories, triangulated categories
13F60 - Cluster algebras
CIRM (Publisher )
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Abstract :
The preprojective algebra $P$ of a quiver $Q$ has a family of ideals $I_w$ parametrized by elements $w$ in the Coxeter group $W$. For the factor algebra $P_w = P/I_w$, I will discuss tilting and cluster tilting theory for Cohen-Macaulay $P_w$-modules following works by Buan-I-Reiten-Scott, Amiot-Reiten-Todorov and Yuta Kimura.
Keywords : preprojective algebra; cluster tilting theory; cluster category
MSC Codes : Keywords : preprojective algebra; cluster tilting theory; cluster category
16G20 - Representations of quivers and partially ordered sets
18E30 - Derived categories, triangulated categories
13F60 - Cluster algebras
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 28/03/2018 Conference Date : 22/03/2018 Subseries : Research talks arXiv category : Representation Theory ; Combinatorics ; Rings and Algebras Mathematical Area(s) : Algebra ; Combinatorics Format : MP4 (.mp4) - HD Video Time : 00:56:25 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2018-03-22_Iyama.mp4 
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Information on the Event
Event Title : Cluster algebras: twenty years on / Vingt ans d'algèbres amasséesEvent Organizers : Amiot, Claire ; Baur, Karin ; Dupont, Grégoire ; Marsh, Robert J. ; Morier-Genoud, Sophie ; Palu, Yann ; Pilaud, Vincent ; Plamondon, Pierre-Guy ; Qin, Fan Dates : 19/03/2018 - 23/03/2018 Event Year : 2018 Event URL : https://conferences.cirm-math.fr/1777.html
Citation Data
DOI : 10.24350/CIRM.V.19384503Cite this video as: Iyama, Osamu (2018). Preprojective algebras and Cluster categories. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19384503 URI : http://dx.doi.org/10.24350/CIRM.V.19384503 |
See Also
- [Post-edited] Morsifications and mutations / Author of the conference Fomin, Sergey.
- [Multi angle] Newton-Okounkov bodies for Grassmannians / Author of the conference Williams, Lauren K..
- [Multi angle] From $Q$-systems to quantum affine algebras and beyond / Author of the conference Kedem, Rinat.
- [Multi angle] The coherent Satake category / Author of the conference Williams, Harold.
Bibliography
