Geometry I (Winter 2016 / 2017)

Contents

Non-euclidean geometry: projective, hyperbolic, Möbius.

This is a course of the Berlin Mathematical School held in english or deutsch (depending on the audience).

Lecture notes for WS16/17 by Alexander Bobenko

News

[2017, February 09]

The lecture notes for this semesters course are now available for download from this page.

[2017, January 25]

There will be 13 exercise sheets this semester with a total number of 208 points.

[2017, January 04]

No tutorials on January 05 and 06.

[2017, January 02]

No office hour of Jan Techter on January 03.

[2016, December 29]

Error on Exercise Sheet 5, Exercise 1 (i): $x$ has to replaced by $p$.
A corrected version of the Exercise Sheet is online now.
You may hand in Exercise 1 together with Exercise Sheet 6.

[2016, October 07]

First lecture on Thursday, October 20.
First tutorials in the second week.

Exercise sheets

• exercise sheet 13, due February 09
• exercise sheet 12, due February 02
• exercise sheet 11, due January 26
• exercise sheet 10, due January 19
• exercise sheet 09, due January 12
• exercise sheet 08, due January 05
• exercise sheet 07, due December 15
• exercise sheet 06, due December 08
• exercise sheet 05, due December 01
• exercise sheet 04, due November 24
• exercise sheet 03, due November 17
• exercise sheet 02, due November 10
• exercise sheet 01, due November 03

Homework policy

• To get a certificate for the tutorial, you need to satisfactorily complete 50% of the homework assignments.
• The exercises are to be solved in groups of two people.
• The homeworks are due weekly at the beginning of the lecture on Thurday.
  Late homeworks are accepted only with medical excuse.

Literature

• Lecture notes by Boris Springborn
• Blog Geometry I WS12 by Thilo Rörig
• Nigel Hitchin's lecture notes on Projective Geometry.
• V. V. Prasolov & V. M. Tikhomirov. Geometry. Translations of Mathematical Monographs, 200. American Mathematical Society, Providence, RI, 2001.
• Felix Klein. Vorlesungen über höhere Geometrie. Grundlehren der Mathematischen Wissenschaften, 22. Springer-Verlag, Berlin, 1968.
• Wilhelm Blaschke. Projektive Geometrie. Birkhäuser, Basel, 1954.
• Dmitry Fuchs & Serge Tabachnikov. Mathematical Omnibus: Thirty Lectures on Classic Mathematics. American Mathematical Society, Providence, RI, 2007. Preprint.
• 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.
• J. W. Cannon, W. J. Floyd, R. Kenyon, R. Parry. Hyperbolic Geometry. In: S. Levy (editor). Flavors of Geometry. Mathematical Sciences Research Institute Publications 31. Cambridge University Press, Cambridge, 1997. Pages 59-115. Download PDF from the MSRI.
• D. V. Alekseevskij, E. B. Vinberg, A. S. Solodovnikov. Geometry of spaces of constant curvature. In: E. B. Vinberg (editor). Geometry II. Encyclopedia of Mathematical Sciences 29. Springer, Berlin, 1993. Pages 1-138.

(This list is not ordered according to any relevant criteria.)

Office hours