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Geometry I (Winter 2019 / 2020)


Contents
Noneuclidean geometry: projective, hyperbolic, Möbius.
This is a course of the Berlin Mathematical School
held in english or deutsch (depending on the audience).
News
 [2019, October 15]

See below for the homework policy.
The first exercise sheet will be online on Monday, October 21, and due Thursday, October 31.
 [2019, October 01]

First lecture on October 14.
First tutorials on October 23.
Exercise sheets
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.

Your handins have to be stapled together and contain names and matriculation numbers of all members of the group.
We strongly reccommend you to hand in the homework in readable writing, since unreadable writing will not be graded.

The homeworks are due weekly on Thursday before(!) the start of the lecture.
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. SpringerVerlag, 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.
SpringerVerlag, Berlin, 1987.
 Michèle Audin. Geometry.
SpringerVerlag, Berlin, 2003.
 H. S. M. Coxeter. NonEuclidean 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 59115. 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 1138.
(This list is not ordered according to any relevant criteria.)
Office hours
