## Probabilistic Operator Algebra Seminar: Trace formulas in perturbation theory

Seminar | April 24 | 3-5 p.m. | 736 Evans Hall

Anna Skripka, University of New Mexico, Albuquerque

Department of Mathematics

In this talk I will present trace formulas arising in perturbation theory that substantially extend the celebrated Krein's result of the 50s. These formulas provide representations for remainders of approximations of operator functions that "split up" the involved noncommutativity. Proofs of the results rely on a fascinating theory of multiple operator integration that has been developing for over half a century.

dvv@math.berkeley.edu