Quantum character varieties at roots of unity | Vidéo | Carmin.tv

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Quantum character varieties at roots of unity

De Pavel Safronov

Apparaît dans les collections : Symplectic representation theory / Théorie symplectique des représentations, Exposés de recherche

Character varieties of closed surfaces have a natural Poisson structure whose quantization may be constructed in terms of the corresponding quantum group. When the quantum parameter is a root of unity, this quantization carries a central subalgebra isomorphic to the algebra of functions on the classical character variety. In this talk I will describe a procedure which allows one to obtain Azumaya algebras via quantum Hamiltonian reduction. As an application, I will show that quantizations of character varieties at roots of unity are Azumaya over the corresponding classical character varieties. This is a report on joint work with Iordan Ganev and David Jordan.

Informations sur la vidéo

Date de captation 02/04/2019
Date de publication 18/04/2019
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.19511603
Citer cette vidéo Safronov, Pavel (02/04/2019). Quantum character varieties at roots of unity. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19511603
URL https://dx.doi.org/10.24350/CIRM.V.19511603

Domaine(s)

Bibliographie

Ganev, I., Jordan, D., & Safronov, P. (2019). The quantum Frobenius for character varieties and multiplicative quiver varieties. arXiv:1901.11450 - https://arxiv.org/abs/1901.11450

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