Rice University Department of Mathematics Colloquium

Computability in Geometric Function Theory and Complex Dynamics

4:00 pm Thursday, March 29, 2018
Ilia Binder (University of Toronto)

Abstract: In this talk, I will discuss recent advances in the computability of various objects arising in Complex Dynamics and Theory of Univalent functions. After a brief introduction to the general Computability Theory, I will talk about the computation properties of polynomial Julia sets and conformal maps. I will also consider the computability questions related to the boundary extensions of conformal maps. Based on joint work with M. Braverman (Princeton), C. Rojas (Universidad Andres Bello), and M. Yampolsky (University of Toronto).

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