Analytic Versus Combinatorial in Free Probability (16w5025)
James Mingo (Queen's University)
Alexandru Nica (University of Waterloo)
Roland Speicher (Saarland University)
Dan Voiculescu (University of California, Berkeley)
Free probability is certainly a very active area, with many unsolved problems ahead, as well as various recent new exciting developments. A meeting bringing together various mathematical backgrounds -- in particular, analytic and combinatorial -- with an emphasis on the connections would be very timely and useful, with a potentially great impact on the further developments of free probability and related subjects.
It has also turned out in recent years that free probability is quite attractive and promising for young people. There are a lot of interesting problems on a level accessible to graduate students and postdoctoral fellows. Actually, quite a bit of the progress mentioned in Section 2 was achieved by PhD students or young postdocs (like Brannan, Male, Freslon, Lemeux, Charlesworth, Nelson, Skoufranis, Raum, Ulrich, Weber). We want to continue this trend and in particular include young people in the programme of the workshop.