Learning Seminar on Free Analysis

Eli Shamovich, Department of Pure Mathematics, University of Waterloo

"The isomorphism problem"

We will continue the discussion of the isomorphism problem for subvarieties of the free ball. We will prove that the algebras of bounded nc functions on two subvarieties are completely isometrically isomorphic if and only if the varieties are ball-biholomorphic. We will then discuss the homogeneous case and talk a bit about other isomorphism types.

MC 5479