BannerBannerBanner

Projective Geometry in the summer semester 2018

Module MA3203 4V+
Date Monday 16:00–18:00 and
Thursday 16:00–18:00 in MI HS 3
Lecturer Prof. Jürgen Richter-Gebert
Teaching Assistant Bernhard Werner

News

Exams

Material

Main exam

Second exam

Lecture material

Nr. Date Whiteboard Materials Nr. Date Whiteboard Materials
1 2018-04-09 Overview   2 2018-04-12 Axioms for projective planes  
3 2018-04-16 Finite projective planes   4 2018-04-19 Collineations & projective transformations  
5 2018-04-23 Desargues & Pappos 1   6 2018-04-26 Desargues & Pappos 2 Coxeter's Geometry Revisited
7 2018-04-30 Algebraic curves   8 2018-05-03 Projective lines & cross ratios  
9 2018-05-07 Harmonic maps on \(\mathrm{\mathbb{R}P^1}\)   10 2018-05-10 No lecture (Ascension Day)  
11 2018-05-14 Collineations in \(\mathrm{\mathbb{R}P^2}\)   12 2018-05-17    
13 2018-05-21 No lecture (Pentecost)   14 2018-05-24 Projectively invariant properties & determinants  
15 2018-05-28 Determinants & point configurations   16 2018-05-31 No lecture (Corpus Christi)  
17 2018-06-04 Quadrilateral sets   18 2018-06-07 Quadrilateral sets & conics  
19 2018-06-11 Parametrising conics as \(\mathrm{\mathbb{R}P^1}\)   20 2018-06-14 Dualising conics  
21 2018-06-18 Intersecting conics   22 2018-06-21 Introduction to \(\mathrm{\mathbb{C}P^1}\)  
23 2018-06-25 Euclidean constructions in \(\mathrm{\mathbb{R}P^2}\)   24 2018-06-28 Introduction to Cayley-Klein geometries 1  
25 2018-07-02 Introduction to Cayley-Klein geometries 2   26 2018-07-05 Motions in Cayley-Klein geometries  
27 2018-07-09 Poincaré model of hyperbolic geometry   28 2018-07-12 Reflections and symmetry in hyperbolic geometry  

Tutorials

Group Day Time Room Tutor Remarks
1 Tuesday 10:15–11:45 MI 03.06.011 Bernhard Werner  
2 Thursday 10:15–11:45 MI 02.06.011 Benedikt Fluhr  
3 Thursday 12:15–13:45 MI 02.06.011 Benedikt Fluhr  
4 Friday 10:15–11:45 MI 02.06.011 Michael Strobel  

Worksheets

A new worksheet will be published here every week. Some of the tasks are designed to be solved and discussed in tutorial classes. The homework exercises serve as additional practise. Their solution will get provided online---but they can be discussed in the exercise classes, if time permits.

Week Worksheet Solution Materials
1 worksheet 1 solution 1  
2 worksheet 2 solution 2  
3 worksheet 3 solution 3  
4 No exercise groups; no exercise sheet.
5 worksheet 4 solution 4  
6 worksheet 5 solution 5  
7 worksheet 6 solution 6  
8 worksheet 7 solution 7  
9 worksheet 8 solution 8  
10 worksheet 9 solution 9  
11 worksheet 10 solution 10  
12 worksheet 11 solution 11  
13 worksheet 12 solution 12  

Literature

Links