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Momentum polytopes of Kähler compact multiplicity-free manifolds
Multi angle
Authors : Cupit-Foutou, Stéphanie (Author of the conference)
CIRM (Publisher )
53D20 - Momentum maps; symplectic reduction
32Q15 - Kähler manifolds
14M27 - Compactifications; symmetric and spherical varieties
CIRM (Publisher )
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Abstract :
I will present some results about the momentum polytopes of the multiplicity-free Hamiltonian compact manifolds acted on by a compact group which are Kählerizable. I shall give a characterization of these polytopes, explain how much they determine these manifolds and sketch some applications of this characterization – most of these results have been obtained jointly with G. Pezzini and B. Van Steirteghem.
Keywords : momentum polytopes; spherical varieties; compact and connected Hamiltonian manifold
MSC Codes : Keywords : momentum polytopes; spherical varieties; compact and connected Hamiltonian manifold
53D20 - Momentum maps; symplectic reduction
32Q15 - Kähler manifolds
14M27 - Compactifications; symmetric and spherical varieties
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 17/12/2019 Conference Date : 28/11/2019 Subseries : Research talks arXiv category : Algebraic Geometry ; Representation Theory ; Symplectic Geometry Mathematical Area(s) : Algebraic & Complex Geometry ; Lie Theory and Generalizations Format : MP4 (.mp4) - HD Video Time : 00:57:30 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2019-11-28_Cupit_Foutou.mp4 
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Information on the Event
Event Title : Algebraic Geometry and Complex Geometry / Géométrie algébrique et géométrie complexeEvent Organizers : Benoist, Olivier ; Floris, Enrica Dates : 25/11/2019 - 29/11/2019 Event Year : 2019 Event URL : https://conferences.cirm-math.fr/2074.html
Citation Data
DOI : 10.24350/CIRM.V.19580603Cite this video as: Cupit-Foutou, Stéphanie (2019). Momentum polytopes of Kähler compact multiplicity-free manifolds. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19580603 URI : http://dx.doi.org/10.24350/CIRM.V.19580603 |
See Also
- [Multi angle] The essential skeletons of pairs and the geometric P=W conjecture / Author of the conference Mauri, Mirko.
- [Multi angle] Representation varieties of fundamental groups of complex algebraic varieties and mixed Hodge structures / Author of the conference Lefèvre, Louis-Clément.
- [Post-edited] Failure of the Brauer-Manin obstruction for a simply connected fourfold, and an orbifold version of the Mordell theorem / Author of the conference Kebekus, Stefan.
- [Multi angle] Rational curves on K3 surfaces / Author of the conference Gounelas, Frank.
Bibliography
- CUPIT-FOUTOU, STÉPHANIE, PEZZINI, GUIDO, et VAN STEIRTEGHEM, B. A. R. T. Momentum polytopes of projective spherical varieties and related K\" ahler geometry. arXiv preprint arXiv:1809.08171, 2018. - https://arxiv.org/abs/1809.08171
