Joint Colloquium: Coquereaux -- From the representation theory of compact Lie groups and their finite subgroups to modular fusion categories associated with affine Lie algebra at some level (or quantum groups at roots of unity) and their module-categories

Joint Colloquium: Robert Coquereaux -- From the representation theory of compact Lie
groups and their finite subgroups to modular fusion categories associated with affine
Lie algebra at some level (or quantum groups at roots of unity) and their
module-categories 

Speaker: Prof.  Robert Coquereaux 

http://www.cpt.univ-mrs.fr/~coque/ 

Time: Friday, Nov 15, 2:30--3:30PM 

Room: Carslaw 173, the University of Sydney 

Lunch plan: we meet near Level 2 entrance to Carslaw Building around 1PM.  The lunch
would be at GrandStand with reservation at 1:10PM.  

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Title: From the representation theory of compact Lie groups and their finite subgroups
to modular fusion categories associated with affine Lie algebra at some level (or
quantum groups at roots of unity) and their module-categories 

Abstract: Using representation theory of affine Lie algebras, or of quantum groups at
roots of unity, one constructs modular fusion categories that have been used for quite a
while in various fields of mathematics, as well as in fundamental physics (fusion rules
in conformal field theory, WZW models, string theories).  In turn, these fusion
categories have modules which consitute a kind of quantum analog of the theory of
representations for finite subgroups of Lie groups.  The purpose of this general talk is
to present a few introductory concepts using (classical) representation theory as a
guide, without using any results from the theory of affine Lie algebras or quantum
groups, and to describe several examples taken from the ``quantum Lie subgroups
classification", which is known for SU(2), SU(3) and SU(4).  

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Joint Colloquium web site: 

http://www.maths.usyd.edu.au/u/SemConf/JointColloquium/index.html