[Topology.beta] FW: Reminder: DDT&G seminar tomorrow (on Thurston's vision in Geometry, Topology, and Dynamics)

[Rot, T.O. (Thomas)]

Dear all,

Below is now also the zoom information if you want to participate in a hybrid manner. (But I would love to see you in Leiden)

Best,
Thomas

From: Federica Pasquotto <f.pasquotto at math.leidenuniv.nl>
Date: Thursday, 2 June 2022 at 13:42
To: Federica Pasquotto <f.pasquotto at math.leidenuniv.nl>
Subject: Reminder: DDT&G seminar tomorrow (on Thurston's vision in Geometry, Topology, and Dynamics)


Dear all,



This is a reminder that the next Dutch Differential Topology and Geometry seminar, will start at 2 p.m. tomorrow, Friday 3 June.



Speaker: Misha Hlushchanka (Utrecht University),

Title: "On Thurston's vision in Geometry, Topology, and Dynamics".

Place: Leiden (room 401, Snellius building, Niels Bohrweg 1).

Please see below for a more detailed description of the seminar's content.



We would like to remind you that master students with an interest in topology and geometry are strongly encouraged to participate.



It will also be possible to follow the seminar online using the login details below:

https://universiteitleiden.zoom.us/j/68000648458?pwd=cUE3UFptY2ZGd24vY3lUK2xNZEVBdz09

Meeting ID: 680 0064 8458
Passcode: 5y<P5r[W


The schedule for all participants will be as follows:



2:00-3:00 p.m.: first part of the seminar (little to no prior knowledge assumed)

3:00-3:30 p.m.: coffee break/questions about part I

3:30-4:30 p.m.: second part of the seminar (slightly more advanced level)

4:30-...: more questions, discussion and beer



Please visit the seminar's webpage for additional information and an overview of past and upcoming talks:

https://www.few.vu.nl/~trt800/ddtg.html



We would also like to remind you that the previous lectures are available on the youtube channel of the seminar:

https://www.youtube.com/channel/UCN0o3PUqaC_ZhPNuM846kgg/



We hope to see many of you tomorrow!



Alvaro, Federica, Rob, and Thomas.



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, Thurston's 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 Thurston's theorems (up to some level of detail) and the common machinery (Teichmüller 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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