S-S Roan,  Institute of Mathematics, Academia Sinica, Taipei, Taiwan

Title:  Duality and Symmetry in Chiral Potts Model  

Abstract
I will talk about the Ising-type duality in the general N-state chiral
Potts  model of a finite size, which relates one chiral Potts model at
a low temperature to another chiral Potts model at a high
temperature. The duality of $\tau^{(2)}$-model s is also established 
alongside the dual chiral Potts models. In the  homogeneous 
superintegrable cases,  I will explain how the eigenstates of the 
$\tau^{(2)}$-model  are determined through the duality relation, 
and discuss its connection with the Onsager-algebra symmetry 
and $sl_2$-loop-algebra symmetry associated to the model.