Introduction to Teichmüller Theory
Practical information
Dates: 6 January – 14 February 2025Times and rooms:
- Mondays 8:50 - 10:50 in 15-16-101: Lecture
- Wednesdays 8:50 - 10:50 in 15-16-101: Lecture
- Fridays 8:50 - 10:50 in 15-16-101: Exercises
Contents
The Teichmüller space of a surface S is the deformation space of complex structures on S and can also be seen as a space of metrics of constant curvature on S. The aim of this course will be to study the geometry and topology of this space and its quotient: the moduli space of Riemann surfaces.Lecture notes
I will post notes here. They will be updated after each lecture.DISCLAIMER: I do not guarantee in any way that these notes are correct. I will be happy to hear of any mistakes that are found.
Lecture notes
Latest update: March 31 2025
Exercises
Problem set 1Solutions
Problem set 2
Solutions
Problem set 3
Solutions
Problem set 4
Solutions
Problem set 5
Solutions
Problem set 6
Solutions