Algebra Seminar: Robert Yuncken -- Crystallizing Functions on Compact Lie Groups

Robert Yuncken (Universite de Lorraine) will speak in the algebra seminar this week.
We will go out for lunch after the talk.  

When: 12-1pm Friday 13, September 

Where: 275 Carslaw 

Title: Crystallizing Functions on Compact Lie Groups 

Abstract: The theory of crystal bases is a means of simplifying the representation theory
of semisimple Lie algebras by passing through quantum groups.  Specifically, varying the
parameter q of a quantized enveloping algebra, we pass from the classical theory at q=1
through the Drinfeld-Jimbo algebras at 0 < q < 1 to the crystal limit at q=0.  At q=0,
the main features of the representation theory crystallize into purely combinatorial
data described by crystal graphs.  

In this talk I will explain what happens in the dual world of function algebras on
compact quantum groups, yielding k-graph algebras in the sense of Kumjian-Pask.  This
generalizes, in part, work by Woronowicz, Hong-Szymanski and Giselsson.  

(Joint work with Marco Matassa.)