Quasisymmetric maps and universal Teichmüller space
(Fall 2024)
(Fall 2024)
The goal of this reading seminar is to learn about quasisymmetric maps to CP^1, the Einstein universe, as well as their relationship to universal Teichmüller space and maximal surfaces in pseudo-hyperbolic spaces. Here are the papers we plan to read:
Maximal surfaces and the universal Teichmüller space, by Bonsante, and Schlenker, in Inventiones Mathematicae, 2010.
Quasicircles and quasiperiodic surfaces in pseudo-hyperbolic spaces, by Labourie and Toulisse, in Inventiones Mathematicae, 2023.
On complete maximal submanifolds in pseudo-hyperbolic space, by Seppi, Smith and Toulisse, 2023.
Quasisymmetric and quasiconformal maps, by Samuel Bronstein, Notes (4.11.2024)
Background on pseudo-hyperbolic geometry, by Alex Moriani, Notes (11.11.2024)
Maximal surfaces and the universal Teichmüller space I, by Jiajun Shi, Notes (18.11.2024)
Maximal surfaces and the universal Teichmüller space II, by Mitul Islam, Notes (25.11.2024)
Maximal surfaces and the universal Teichmüller space III, by Jacques Audibert, Notes (2.12.2024)
Quasicircles and quasiperiodic surfaces I (positive and quasiperiod maps), by Clarence Kineider, Notes (9.12.2024)
Quasicircles and quasiperiodic surfaces II (quasisymmetric maps), by Fernando Camacho Cadena, Notes (16.12.2024)
Quasicircles and quasiperdioc surfaces III (in January 27th, 2025)
Time: Mondays 13:30 - 15:00.
Where: Room E2 10 at the Max Planck Institute for Mathematics in the Sciences.
If you would like to join through Zoom, please email fernando.camacho(at)mis.mpg.de to ask for a link.