Friday February 3rd, 2023 | |
| Time: | 11:00 AM - 12:00 PM |
| Title: | Uniformization of metric surfaces by solving Plateau’s problem |
| Speaker: | Damaris Meier, University of Fribourg |
| Location: | Math P-131 |
| Abstract: | |
| The classical uniformization theorem states that any simply connected Riemann surface is conformally equivalent to the unit disk, complex plane or Riemann sphere. The non-smooth uniformization problem now asks for the strongest possible extension after replacing smooth surfaces by metric spaces. On the way to answering this question in the setting of metric surfaces of locally finite Hausdorff 2-measure, we encounter the outstanding uniformization results of Bonk-Kleiner and Rajala. Moreover, we will outline how the solution of Plateau‘s problem can be used to provide such a uniformization theorem. Recall that Plateau‘s problem consists in finding a surface of minimal area spanning a given closed curve. | |