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Morsifications and mutations
Post-edited
Authors : Fomin, Sergey (Author of the conference)
CIRM (Publisher )
20F36 - Braid groups; Artin groups
57M25 - Knots and links in $S^3$
58K65 - Topological invariants
13F60 - Cluster algebras
CIRM (Publisher )
Abstract :
I will discuss a connection between the topology of isolated singularities of plane curves and the mutation equivalence of the quivers associated with their morsifications. Joint work with Pavlo Pylyavskyy, Eugenii Shustin, and Dylan Thurston.
Keywords : plane curve singularity; morsification; A'Campo–Gusein-Zade diagram; quiver mutation; positive braid; plabic graph; scannable divide; link equivalence
MSC Codes : Keywords : plane curve singularity; morsification; A'Campo–Gusein-Zade diagram; quiver mutation; positive braid; plabic graph; scannable divide; link equivalence
20F36 - Braid groups; Artin groups
57M25 - Knots and links in $S^3$
58K65 - Topological invariants
13F60 - Cluster algebras
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 28/03/2018 Conference Date : 20/03/2018 Subseries : Research talks arXiv category : Geometric Topology ; Algebraic Geometry ; Combinatorics Mathematical Area(s) : Algebraic & Complex Geometry ; Topology ; Combinatorics Format : MP4 (.mp4) - HD Video Time : 00:52:26 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2018-03-20_Fomin.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.19384703Cite this video as: Fomin, Sergey (2018). Morsifications and mutations. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19384703 URI : http://dx.doi.org/10.24350/CIRM.V.19384703 |
See Also
- [Multi angle] Preprojective algebras and Cluster categories / Author of the conference Iyama, Osamu.
- [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
- Fomin, S., Pylyavskyy, P., Shustin, E., & Thurston, D. (2018). Morsifications and mutations.
