Title: Crystal limits of compact semisimple quantum groups as higher-rank graph algebras
Abstract: I will discuss some results concerning the crystal limit of q-deformations of compact semisimple Lie groups, that is the limit when the parameter q tends to zero. I will discuss how the resulting objects can be described as higher-rank algebras, a notion originally introduced by Kumjan-Pask. The construction makes use of the theory of crystal bases by Kashiwara and Lusztig. Based on joint work with Robert Yuncken.