We have now the Christmas break for our term. This means there will be no classes for two weeks. We will continue on January 7, 2019; there will be about ten more lectures. We will then cover two more main themes:

i) the random matrix connections of free probability (in particular, show the asymptotic freeness of many random matrix models)

ii) applications of free probability to von Neumann algebras (in particular, treat results about compressions of free group factors)