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

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Quantum character varieties at roots of unity

By Pavel Safronov

Appears in 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.

Information about the video

Date of recording 02/04/2019
Date of publication 18/04/2019
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19511603
Cite this video 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

Domain(s)

Bibliography

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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