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The partial compactification of the universal centralizer
Multi angle
Authors : Balibanu, Ana (Author of the conference)
CIRM (Publisher )
20G05 - Representation theory of linear algebraic groups
CIRM (Publisher )
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Abstract :
Let $G$ be a semisimple algebraic group of adjoint type. The universal centralizer is the family of centralizers in $G$ of regular elements in Lie$(G)$, parametrized by their conjugacy classes. It has a natural symplectic structure, obtained by Hamiltonian reduction from the cotangent bundle $T^∗ G$. We consider a partial compactification of the universal centralizer, where each centralizer fiber is replaced by its closure inside the wonderful compactification of $G$. The symplectic structure extends to a log-symplectic Poisson structure on this partial compactification, whose fibers are isomorphic to regular Hessenberg varieties.
MSC Codes : 20G05 - Representation theory of linear algebraic groups
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 18/04/2019 Conference Date : 01/04/2019 Subseries : Research talks arXiv category : Group Theory ; Representation Theory Mathematical Area(s) : Algebra Format : MP4 (.mp4) - HD Video Time : 00:49:18 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2019-04-01_Balibanu.mp4 
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Information on the Event
Event Title : Symplectic representation theory / Théorie symplectique des représentationsEvent Organizers : Bellamy, Gwyn ; Ben-Zvi, David ; Schedler, Travis ; Schiffmann, Olivier ; Shan, Peng Dates : 01/04/2019 - 05/04/2019 Event Year : 2019 Event URL : https://conferences.cirm-math.fr/1956.html
Citation Data
DOI : 10.24350/CIRM.V.19511103Cite this video as: Balibanu, Ana (2019). The partial compactification of the universal centralizer. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19511103 URI : http://dx.doi.org/10.24350/CIRM.V.19511103 |
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Bibliography
- Balibanu, A. (2017). The partial compactification of the universal centralizer. arXiv:1710.06327 - https://arxiv.org/abs/1710.06327
