[Topology.beta] DDT&G this Friday

[Rot, T.O. (Thomas)]

Dear all,

Below is the invitation to the DDT&G coming friday.

I will go directly from my house but Michael (Jung) is leaving from the department.

You can coordinate with him if you want to travel together. Can you send him an email if you will travel from Zuid?

Hope to see you Friday!

Best,
Thomas




You are cordially invited to attend the next instalment of the Dutch Differential Topology and Geometry seminar, which will start at 2 p.m. on Friday 3 June.



We are glad to announce that our speaker will be Misha Hlushchanka (Utrecht University), and the title of his seminar will be "On Thurston's vision in Geometry, Topology, and Dynamics". 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.



The seminar will be held in Leiden (Snellius, room 401).

It will also be possible to follow the seminar online (login details will be available soon).



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 at the seminar!



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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