Simple Compact Quantum Groups

GAP Seminar

Meeting Details

For more information about this meeting, contact Ping Xu, Mathieu Stiénon, Nigel Higson.

Speaker: ShuZhou Wang,

Abstract: In the theory of compact quantum groups, two classes of examples have been intensively studied. The first are obtained as various deformations of compact Lie groups and were main objects of study in the theory of quantum groups in the later 1980s and 1990s. The second are constructed as universal objects in appropriate categories of quantum transformation groups and are in general not obtainable as deformations of compact Lie groups. The latter class of quantum groups have been focus of study in recent years. Because of the existence of the latter classes of quantum groups, it is a fundamental problem to classify simple compact quantum groups. In this talk, I will explain the notion of simple compact quantum groups and indicate how to prove simplicity of (1) the universal orthogal groups, (2) the quantum automorphism of finite spaces and (3) deformations of simple Lie groups.

Room Reservation Information

Room Number: 106 McAllister

Date: 04/06/2010

Time: 2:30pm - 3:30pm