Mapping class groups and Teichmüller spaces

Graduiertenkolleg Research Seminar, Sommersemester 2008, Düsseldorf.

Time: Biweekly seminar on Thursdays, 14:00- 17:30, starting on April 16, 2009.

Place: Raum, Mathematisches Institut, Heinrich-Heine-Universität, Düsseldorf.

April 16
(1) Introduction and some basic priniciples
W. Singhof

April 16
(2) Dehn twists
V. Ozornova
[FM] 2.1-2.3
May 7
(3) The Alexander method
A. Heß
[FM] 2.4, 2.5
May 28
(4) The Dehn-Nielsen-Baer theorem
J. Matz
[FM] Ch. 3
June 18
(5) Finitely many Dehn-twists generate the mapping class group
F. Deniz
[FM] 4.1-4.3, report on 4.4
June 18
(6) Teichmüller space - Overview
C.-F. Bödigheimer
[FM] Ch. 9
July 2
(7) Hyperbolic metrics on disks with two holes
M. Ullmann
[FLP] Exposé 3, [Iv2] 2
July 16
(8) Length function and the Fenchel-Nielsen flow
A. Angel
[FLP] Exposé 7, [Iv1] 4.3., [Iv4] 5.2
July 16
(9) The mapping class group is finitely presented
J. Ebert
[Iv3], [Iv1] 1

The basic reference for the first talks is the manuscript
[FM] Benson Farb, Dan Margalit A primer on mapping class groups
(References above refer to version mcgv30)

Other references:
[FLP] Fathi, A., Laudenbach, F., Poénaru, travaux de Thurston sur les surfaces, Séminaire Orsay, astérisque 66-67 (1979)
[Iv1] Ivanov, N.V., Complexes of curves and The Teichmüller modular group, english translation in Russian Math. Surveys 42 (1987) No. 3, 55-107
[Iv2] Ivanov, N.V., Attaching corners to Teichmüller space, Leningrad Math. J., Vol. 1 (1990), No. 5
[Iv3] Ivanov, N.V., Complexes of curves and Teichmüller spaces, Mat. Zametki 49, (1991)
[Iv4] Ivanov, N.V., Mapping class groups, Handbook of geometric topology, Elsevier 2002

Last Updated: June 19, 2009 - F. Deniz