Seminar on Analysis, Geometry and PDEs - Alan Sola
Local theory of stable polynomials and bounded rational functions in two variables
Speaker: Alan Sola (Stockholm University)
We will discuss boundary behavior of bounded rational functions in the bidisk from several perspectives, including existence of non-tangential limits and higher non-tangential regularity. The results we obtain rely heavily on local descriptions of stable polynomials, which lead to a conjecture (since resolved by J. Kollar) regarding the characterization of bounded rational functions with a given stable denominator.
This reports on joint work with K. Bickel, G. Knese, and J.E. Pascoe.
Tid: 2022-12-13 14:00 till 15:00
eskil [dot] rydhe [at] math [dot] lu [dot] se