[Topology.beta] Next DDT&G 3rd of june in Leiden.

[Rot, T.O. (Thomas)]

Dear all,

Below is an announcement for the next DDT&G seminar in Leiden. I think this might also be of interest of my dynamically inclined friends, hence I’ve also send to the dynamics mailing list as well.

Please let masterstudents who might be interested also know about this minicourse.

Hope to see you there!

Best,
Thomas

03-06-2022 Leiden Snellius 401. Misha Hlushchanka<https://sites.google.com/site/mikhailhlushchanka/>: On Thurstons vision in geometry, topology, and dynamics
Schedule
14:00-15:00: First part of the minicourse
15:30-16:30: Second part of the minicourse
Abstract
Since the 1980s, Bill Thurston has done fundamental work in apparently quite different areas of mathematics: geometry of 3-manifolds, geometry of surface automorphisms, and dynamics of branched covers of the 2-sphere. In all contexts, Thurstons theorems have fundamental importance and are the cornerstones of ongoing research. These results are surprisingly closely connected both in statements and in proofs. In all three areas, the statements can be expressed as follows: either a topological object has a geometric structure (the manifold is geometric, the surface automorphism has Pseudo-Anosov structure, a branched cover of the sphere respects the complex structure), or there is a well defined topological-combinatorial obstruction. Moreover, all three theorems are proved by an iteration process in a finite dimensional Teichmüller space (this is a complex space that parametrizes Riemann surfaces of finite type).
The goal of this minicourse is to discuss Thurstons theorems (up to some level of detail) and the common machinery (Teichmuller theory) in a unified way, so as to highlight many of the analogies between the results. We may also have a glimpse at the modern research in holomorphic dynamics continuing the legacy of Bill Thurston.


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