Friday, January 11, 2019
Caltech/UCLA Joint Analysis Seminar
Computability questions in planar conformal geometry
Ilia Binder, Department of Mathematics, University of Toronto
I will give an overview of the recent research on the computational properties of conformal maps. I will discuss the computability and complexity of computing a conformal map onto a given domain, both for the interior and boundary points. I will also talk about the computability of harmonic measure. Based on joint projects with M. Braverman, C. Rojas, and M. Yampolsky.