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Kalendarium

13

December

Seminar on Analysis, Geometry and PDEs - Alan Sola

Tid: 2022-12-13 14:00 till 15:00 Seminarium

Local theory of stable polynomials and bounded rational functions in two variables

Speaker: Alan Sola (Stockholm University)

Abstract:

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.



Om händelsen
Tid: 2022-12-13 14:00 till 15:00

Plats
MH:332B

Kontakt
eskil [dot] rydhe [at] math [dot] lu [dot] se

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Sidansvarig: webbansvarig@math.lu.se | 2017-05-23