Lecture Notes on the interplay between Tensor Categories, Algebraic QFT, Subfactors, and Quantum Groups

These are lecture notes on the interplay between Tensor Categories, Algebraic Quantum Field Theory, Subfactors and Quantum Groups written for the PhD course `Quantum Groups' held at the Mathematics Department of the University of Rome `la Sapienza' in the fall 2010. The aim is that of introducing the young student or researcher to this area. I have limited myself to indicate some streamlines, mainly on subjects I feel more familiar with. Many important developments are not considered here. My aim is to be of help in organizing further reading. Comments are welcome