Presented by: 
Chul-hee Lee, UQ
Tue 7 Oct, 3:00 pm - 4:00 pm
Building 67, Room 442

The Kirillov-Reshetikhin modules form a special class of finite dimensional representations of quantum groups. Their characters are known to satisfy some functional relations called T-systems and Q-systems. In an attempt to calculate the central charges of certain conformal field theories using the dilogarithm function based on the Thermodynamic Bethe Ansatz method, some conjectures about solutions of level restricted version of Q-systems have been proposed. They also have some connections with Nahm's conjecture in number theory. In this talk, I will explain how the WZW fusion ring can be used to answer them and discuss their status and related problems.