Ruprecht-Karls-Universität Heidelberg

(Big) mapping class groups
Winter semester 2022/23

Language

The language for the course is German for now. But we are ready to switch to English if you want to join and prefer that.

Time and date

The lecture takes place on Wednesday 9-11 and Friday 11-1 in seminar room 6. About every second week on Friday, the lecture will be replaced by an exercise class.

The lecture of October 28 is moved to November 7, 3.30-5.00pm.

The lecture of December 14 is moved to December 12, 2.15-3.45pm.

Exercise classes: Nov 4, Nov 18, Dec 2, Dec 16, Jan 20, Feb 3, Feb 17.

Exams take place on March 6.

Contents

We consider the symmetry groups of surfaces - mapping class groups. In particular, we will study big mapping class groups, i.e. these defined by surfaces of infinite type such as the Loch Ness monster.

We plan to cover the following:

  • surfaces, curves, and the curve graph
  • classification of surfaces of infinite type
  • Birman exact sequence
  • generators of mapping class groups
  • mapping class groups as Polish groups
  • symplectic representation

Müsli

Please register for the course on MÜSLI.

Contact