Kay Kirkpatrick (University of Illinois at Urbana-Champaign)

Title: Free Araki-Woods Factors and a Calculus for Moments in Quantum Groups.
Abstract: We will discuss a central limit theorem for quantum groups: that the joint distributions with respect to the Haar state of the generators of free orthogonal quantum groups converge to free families of generalized circular elements in the large (quantum) dimension limit. We also discuss a connection to almost-periodic free Araki-Woods factors. This is joint work with Michael Brannan.