January 9, 2023 to February 17, 2023
IHP
Europe/Paris timezone

Quantum groups in a (coco) nutshell

Jan 12, 2023, 9:30 AM
1h
Amphitheater Darboux (IHP)

Amphitheater Darboux

IHP

11, Rue Pierre et Marie Curie 75005 Paris

Speaker

Florian Girelli (U. Waterloo)

Description

(Lie) Groups are typically seen as encoding a symmetry structure. For some phase spaces, the symmetry structure might need to be equipped with a non-trivial Poisson structure, which must then be compatible with the group product (to have a well defined symmetry action). This defines the notion of Poisson Lie group. When quantizing the system, the Poisson Lie group becomes a quantum group. I will provide a compact introduction to these concepts having in mind as leading example, the 3d (quantum) gravity framework, where such Poisson Lie/quantum symmetries are key to understand the quantum theory.

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