Geometric quantization of toric and semitoric systems | Vidéo | Carmin.tv

00:00:00 / 00:00:00

Geometric quantization of toric and semitoric systems

Apparaît dans la collection : International workshop on geometric quantization and applications / Colloque international "Quantification géométrique et applications"

One of the many contributions of Kostant is a rare gem which probably has not been sufficiently explored: a sheaf-theoretical model for geometric quantization associated to real polarizations. Kostant’s model works very well for polarizations given by fibrations or fibration-like objects (like integrable systems away from singularities). For toric manifolds where the real polarization is determined by the fibers of the moment map, Kostant’s model yields a representation space whose dimension is the number of integer points inside the corresponding Delzant polytope. We will discuss extensions of this model to consider almost toric manifolds and integrable systems with non-degenerate singularities where “unexpected” infinities can show up even if the manifold is compact.

Informations sur la vidéo

Date de captation 08/10/2018
Date de publication 18/10/2018
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.19464303
Citer cette vidéo Miranda, Eva (08/10/2018). Geometric quantization of toric and semitoric systems. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19464303
URL https://dx.doi.org/10.24350/CIRM.V.19464303

Domaine(s)

Bibliographie

Miranda, E., Presas, F., & Solha, R. (2017). Geometric quantization of semitoric systems and almost toric manifolds. <arXiv:1705.06572> - https://arxiv.org/abs/1705.06572

Codes MSC

53D50 Geometric quantization

Dernières questions liées sur MathOverflow

Pour poser une question, votre compte Carmin.tv doit être connecté à mathoverflow

Poser une question sur MathOverflow

Copyright Carmin.tv 2024

Donner son avis