Events by date

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

Justin Laverdure, Department of Pure Mathematics, University of Waterloo

"Duality Compactness Theorem"

One more building block on the way to establishing some nice theorems: if a finite structure of finite signature dualizes every finite member of ISP(M), then it dualizes the entirety of the class. If we have time, we'll also see that brute force does dualize the finite members! Unfortunately, these two facts don't mesh yet.

MC 5403