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Geometry I
(Winter 2017)


This is a basic course of the
Berlin Mathematical School
and will be held in English. Depending on the audience one of the tutorials may
be held in German.
Contents
Introduction to projective, spherical, hyperbolic, Möbius and Lie geometry.
News
 [2017, October 13]

First lecture on Wednesday, October 18.
First tutorials on Wednesday, October 25.
Exercise sheets
Homework policy

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

The exercises are to be handed in in groups of two people.
Depending on the number of students it might be possible to form groups of three.

The homework is due weekly during the tutorials on Wednesday.
Literature
 Springborn, lecture
notes from the 2007 version of this course at TU Berlin
 Bobenko, lecture
notes (projective geometry) from the 2016 version of this course at TU Berlin
 Euclid, Elements:
online with java or
Greek beside English text
 Prasolov & Tikhomirov, Geometry, TMM 200, Amer. Math. Soc.
 Hitchin, lecture notes on Projective Geometry: Chapters
1&2,
3,
4,
5
 Fuchs & Tabachnikov,
Mathematical Omnibus
 Klein, Vorlesungen über höhere Geometrie, GMW 22, Springer
 Blaschke, Projektive Geometrie, Birkhäuser
 Berger, Geometry I & II, Springer
 Audin, Geometry, Springer
 Coxeter, NonEuclidean Geometry, Math. Assoc. Amer.
 Cannon, Floyd, Kenyon & Parry,
Hyperbolic Geometry, from Flavors of Geometry, MSRI
 Martin, The Foundations of Geometry and the NonEuclidean Plane, UTM, Springer
 Henderson, Experiencing Geometry, Prentice Hall
Office Hours
