Speaker: Kai Rajala, Professor, School of Mathematics and Statistics, University of Jyväskylä

Date: December 6, 2022

Time: 9:00-10:30

Location: Zoom

Sponsor:Research Center for Mathematics and Interdisciplinary Sciences, Shandong University

Abstract:

Conformal maps are homeomorphisms which preserve the shapes of infinitesimally small objects. By the classical Uniformization theorem, every smooth surface that admits a homeomorphism onto the standard two-sphere actually admits a conformal homeomorphism onto the standard two-sphere. The Non-smooth uniformization problem asks for strongest possible extensions when smooth surfaces are replaced with metric spaces. We present recent developments on metric surfaces that have finite (Hausdorff) area, and discuss connections to classical problems on conformal maps.

For more information, please visit:

https://www.view.sdu.edu.cn/info/1020/173199.htm