Program
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:2018-12-18

Description:
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.


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


Reference:
[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.