English
Minimal Maslov number of $R$-spaces canonically embedded in Einstein-Kähler $C$-spaces
Multi angle
Auteurs : Ohnita, Yoshihiro (Auteur de la Conférence)
CIRM (Editeur )
53C25 - Special Riemannian manifolds (Einstein, Sasakian, etc.)
53C55 - Hermitian and Kählerian manifolds (global differential geometry)
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/1936/Slides/ohnita.pdf
CIRM (Editeur )
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Résumé :
An $R$-space is a compact homogeneous space obtained as an orbit of the isotropy representation of a Riemannian symmetric space. It is known that each $R$-space has the canonical embedding into a Kähler $C$-space as a real form which is a compact embedded totally geodesic Lagrangian submanifold. The minimal Maslov number of Lagrangian submanifolds in symplectic manifolds is an invariant under Hamiltonian isotopies and very fundamental to the study of the Floer homology for intersections of Lagrangian submanifolds. In this talk we provide a Lie theoretic formula for the minimal Maslov number of $R$-spaces canonically embedded in Einstein-Kähler $C$-spaces and discuss several examples of the calculation by the formula.
Keywords : $R$-spaces; Eintein-Kähler $C$-spaces; monotone Lagrangian submanifolds; minimal Maslov number
Codes MSC : Keywords : $R$-spaces; Eintein-Kähler $C$-spaces; monotone Lagrangian submanifolds; minimal Maslov number
53C25 - Special Riemannian manifolds (Einstein, Sasakian, etc.)
53C55 - Hermitian and Kählerian manifolds (global differential geometry)
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/1936/Slides/ohnita.pdf
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 18/06/2019 Date de captation : 29/05/2019 Sous collection : Research talks arXiv category : Differential Geometry ; Symplectic Geometry Domaine : Geometry Format : MP4 (.mp4) - HD Durée : 00:59:10 Audience : Researchers Download : https://videos.cirm-math.fr/2019-05-29_Ohnita.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Problèmes variationnels et géométrie des sous-variétés / Variational Problems and the Geometry of SubmanifoldsOrganisateurs de la rencontre : Alias, Luis J. ; Loubeau, Eric ; Mazet, Laurent ; Montaldo, Stefano ; Soret, Marc ; Ville, Marina Dates : 27/05/2019 - 31/05/2019 Année de la rencontre : 2019 URL Congrès : https://conferences.cirm-math.fr/1936.html
Données de citation
DOI : 10.24350/CIRM.V.19533103Citer cette vidéo: Ohnita, Yoshihiro (2019). Minimal Maslov number of $R$-spaces canonically embedded in Einstein-Kähler $C$-spaces. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19533103 URI : http://dx.doi.org/10.24350/CIRM.V.19533103 |
Voir aussi
- [Multi angle] Singularities of Teichmüller harmonic map flow / Auteur de la Conférence Rupflin, Melanie.
- [ Post-edited] $L^2$ curvature for surfaces in Riemannian manifolds / Auteur de la Conférence Kuwert, Ernst.
- [Multi angle] Willmore stability and conformal rigidity of minimal surfaces in $\mathbb{S}^{n}$ / Auteur de la Conférence Kusner, Rob.
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