Geometry I: Analytic and Projective Geometry (Winter 2011)

This is a course of the Berlin Mathematical School held in English.

The first lecture will be on Monday 17.10, the first Tutorial on Wednesday 26.10. and Thursday 27.10. Rooms will be announced on this website.

News

[15.02.2012]

There will be no tutorials on Wed 15 and Thu 16 of February because I'm (Thilo) ill. Sorry. The certificates (Scheine) can be collected at Jean Downes' office (MA728, 9:30-11:30).

[01.02.2012]

There will be no tutorials on Wed 1 and Thu 2 of February because I'm (Thilo) ill. Sorry.

[01.12.2011]

Exercise 1 on sheet 6 is now easier and correct. See corrected version .

[26.10.2011]

In exercise 4 on sheet 1, p needs to be a pole of the boundary of the hemisphere H_p. See corrected version below.

[20.10.2011]

The lecture on monday will be in the main building to the right in room H0106. There were no bigger rooms available in the math building - sorry. Rooms for the tutorials will hopefully be announced tomorrow.

Contents

Euclidean and non-euclidean geometry: spherical, hyperbolic, projective, Möbius, and Lie geometry. The continuation is Geometry II: Discrete Differential Geometry.

Exercise sheets

Homework policy

To get a certificate for the tutorial, you need to satisfactorily complete 60% of the homework assignments.

Literature

• Lecture notes by Boris Springborn
• V. V. Prasolov & V. M. Tikhomirov. Geometry. Translations of Mathematical Monographs, 200. American Mathematical Society, Providence, RI, 2001.
• Nigel Hitchin's lecture notes on Projective Geometry.
• Felix Klein. Vorlesungen über höhere Geometrie. Grundlehren der Mathematischen Wissenschaften, 22. Springer-Verlag, Berlin, 1968.
• Wilhelm Blaschke. Projektive Geometrie. Birkhäuser, Basel, 1954.
• Marcel Berger. Geometry. I & II. Springer-Verlag, Berlin, 1987.
• Michèle Audin. Geometry. Springer-Verlag, Berlin, 2003.
• H. S. M. Coxeter. Non-Euclidean Geometry. Mathematical Association of America, Washington, DC, 1998.

Office Hours