Metric geometry, hyperbolic geometry and Teichmüller spaces
Student No.:40
Time:Mon 17:05-18:40 & Tue 13:30-15:05, Oct.08-Dec.18
Instructor:Athanase Papadopoulos  
Place:Lecture Hall, Jin Chun Yuan West Bldg.
Starting Date:2018-10-8
Ending Date:2018-12-11

Metric geometry, convexity, Finsler geometry, surfaces, hyperbolic structures, foliations and laminations, actions of mapping class groups, the metric theory of Teichmüller space, surfaces of infinite type.

Classification of surfaces, the fundamental group, some knowledge in topology and metric spaces.

[1] W. P. Thurston, The geometry and topology of 3-manifolds. (Available on the web.)
[2] W. P. Thurston, Minimal stretch maps between hyperbolic surfaces.(Available on the web.)
[3] A. Papadopoulos, Metric spaces, convexity and nonpositive curvature, 300 pages, European Mathematical Society (EMS), Z\ »urich, 2nd edition, 2014.
[4] A. Papadopoulos, Strasbourg Master-Class in Geometry, European Mathematical Society, Zurich, 2012.
[5] A. Papadopoulos (ed). Handbook of Teichmüller theory, Vol. I-VI, European Mathematical Society, Zurich, 2006-2016.