## Probabilistic Operator Algebra Seminar: Asymptotic $\varepsilon$-independence

Seminar | October 28 | 3-5 p.m. | 736 Evans Hall

Ian Charlesworth, NSF Postdoctoral Fellow UC Berkeley

Department of Mathematics

I will speak about $\varepsilon$-independence, which an interpolation of classical and free independence originally studied by M$ł{}$otkowski and later by Speicher and Wysoczanski. To be $\varepsilon$-independent, a family of algebras in particular must satisfy pairwise classical or free independence relations prescribed by a {0,1}-matrix $\varepsilon$, as well as more complicated higher order relations. I will discuss how matrix models for this independence may be constructed in a suitably-chosen tensor product of matrix algebras. This is joint work with Benoit Collins.

dvv@math.berkeley.edu