## Probabilistic Operator Algebra Seminar: Regularity of polynomials in free variables ( after Charlesworth and Shlyakhtenko)

Seminar | November 6 | 3-5 p.m. | 736 Evans Hall

Brent Nelson, NSF Postodoctoral Fellow UC Berkeley

Department of Mathematics

We will present the recent paper of Charlesworth and Shlyakhtenko in which it is shown that if an $n$-tuple of operators has free entropy dimension $n$, then every selfadjoint polynomial in these operators has an atomless spectral measure.

dvv@math.berkeley.edu