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Polynomials defining distinguished varieties
by
Greg Knese
University of California, Irvine
When studying two variable polynomials and their relation to the two dimensional torus in C2, one is presented with a number of interesting classes of polynomials, all of which have close ties to rational inner functions and Pick interpolation problems on the bidisk. In this talk, we relate polynomials whose zero set exits the bidisk through the two-torus to a certain class of polynomials with no zeros on the bidisk. The result is a new proof of a representation formula for distinguished varieties with some refinements when the variety has no singularities on the two-torus.
Date received: February 18, 2008
Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cavq-55.