The course will be about the Lieb-Liniger model [it can also be called one dimensional Bose gas with delta interaction or quantum non-linear Schrödinger equation]. It is based on my book Quantum inverse scattering method and correlation functions.
The last part of the lecture series will deal with the Lieb-Liniger model of 1D anyons, based on the papers Large-Distance Asymptotic Behavior of the Correlation Functions of 1D Impenetrable Anyons at Finite Temperatures (arXiv:0811.2419) and Non-conformal asymptotic behavior of the time-dependent field-field correlators of 1D anyons (arxiv.org/abs/0906.0431) .

Slides and a video recording of lectures about Lieb-Liniger model of 1d anyons by Professor Korepin given at the Kavli Institute for Theoretical Physics at the University of California in 2011 can be found here: http://online.kitp.ucsb.edu/online/integral11/korepin/.