18-19 October 2018
Laboratoire de Mathématiques de Reims
Europe/Paris timezone

A class of locally compact quantum groups arising from Kohn-Nirenberg quantization

18 Oct 2018, 17:30
50m
Amphi 2 (UFR Sciences)

Amphi 2

UFR Sciences

Exposé

Speaker

Victor Gayral (Université de Reims Champagne-Ardenne)

Description

Locally compact quantum group (LCQG) in the setting of von Neumann algebras (aka Kustermans-Vaes quantum groups), is believed to give the correct notion of symmetries of quantum spaces (in the setting of operator algebras). While this theory is fast growing, there are very few examples of (non-compact) LCQG.
In this talk, I will explain how the good old Kohn-Nirenberg quantization allows to construct a new class of LCQG (and also why the very good old Weyl quantization doesn’t work here).
This is a joint work (in progress) with Pierre Bieliavsky, Lars Tuset and Sergiy Neshveyev.

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