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Semesterapparat

Written on 24.10.23 by Christian Steinhart

Dear students,

we now have a "Semesterapparat" in the library, that is you can find suitable and supplemental lecture under the link "Semesterapparat".

If you are more interested in the topological point of view, I highly recommend the book from Farb&Margalit (we basically start there at Chapter… Read more

Dear students,

we now have a "Semesterapparat" in the library, that is you can find suitable and supplemental lecture under the link "Semesterapparat".

If you are more interested in the topological point of view, I highly recommend the book from Farb&Margalit (we basically start there at Chapter 2).

Hubbard and Imayoshi&Taniguchi give a more analytical and quite thorough introduction to Teichmüller space and some examples.

In Hubbard you also find some exercises suitable for the lecture ;-)

In Ahlfors you find the more classical (also analytical) approach, but we will mostly follow the first three books.

Yours,

Christian

Deformation Spaces

We will discuss Teichmüller space as a typical example of deformation spaces.


Content:

 

We will introduce Teichmüller space and its geometry. We will roughly follow Chapter 2 and part of Chapter 3 of Benson Farb and Dan Margalits book "A Primer on Mapping Class Groups". Topics will include:

  • Mapping class group
  • Fenchel-Nielsen Coordinates
  • Teichmüller metric
  • Thurston metric
  • Foliations
  • (Thurston'S Classification of elements of the mapping class group)

 

 

Dates:

Lecture: Tuesdays 8:30-10 am in SR 9

Exam: There will be the possibility for an oral exam at the end of the course for students.

 

 

Lecturer: Dr. Christian Steinhart

Contact: nachname [at] math.uni-sb.de
 
 
Preliminaries:
  • algebra
  • basic knowledge in topology
  • complex analysis

 

Literature:

  • Semesterapparat
  • Farb-Margalit: "A Primer on Mapping Class Groups"
  • Imayoshi-Taniguchi: "An Introduction to Teichmüller Spaces"
  • Hubbard: "Teichmüller Theory and Applications to Geometry, Topology, and Dynamics"
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