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

00:00:00 / 00:00:00

Geometric quantization of toric and semitoric systems

Appears in 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.

Information about the video

Date of recording 08/10/2018
Date of publication 18/10/2018
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19464303
Cite this video 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

Domain(s)

Bibliography

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

MSC codes

53D50 Geometric quantization

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow

Copyright Carmin.tv 2024

Give feedback