Kirill Lazebnik : A Geometric Approach to Runge’s theorem | Department of Mathematics

Kirill Lazebnik : A Geometric Approach to Runge’s theorem

Event Information
Event Location: 
GAB 461
Event Date: 
Monday, September 12, 2022 - 4:00pm

Title: A Geometric Approach to Runge's theorem

Abstract: We will recall Runge's theorem on approximation of analytic functions (in one complex variable) by polynomials, and remark how a lack of a global understanding of the polynomial approximant limits potential applications of this theorem in complex dynamics. We will discuss a different approach to this classical result which gives a fuller understanding of the polynomial approximants, and discuss potential applications. This talk is based on joint work with Chris Bishop.

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