Probabilistic Operator Algebra Seminar: Type B Free Probability

Seminar | October 9 | 3:45-5:45 p.m. | 748 Evans Hall

 Ian Charlesworth, NSF Postdoctoral Fellow UC Berkeley

 Department of Mathematics

The lattice of non-crossing partitions plays a crucial role in free probability, giving rise to the free cumulants introduced by Roland Speicher. In addition to their combinatorial description, the non-crossing partitions can be realized as arising from the Coxeter groups of Type A. Reiner used this analogy to introduce the non-crossing partitions of Type B, which raises the question: what do these correspond to on the non-commutative probability side ? It turns out that the Type B theory leads to a kind of infinitesimal free independence. In this expository talk, we will present these ideas and discuss (briefly) how they can be applied to understand finite rank perturbations of random matrices.

 dvv@math.berkeley.edu