Projective Geometry 2 in the winter semester 2018/19

Modul	MA3204 2V+1Ü
Date	Thursday, 10:15--11:45 in MI HS 3
Lecturer	Prof. Dr. Dr. Jürgen Richter-Gebert
TAs	Aaron Montag and Bernhard Werner

News

• Normal lecture on Thursday, January 17; no snow sculptures.

Exam

• You're allowed to bring a DIN A4 sheet with your own notes on it. And don't forget a pencil, ruler and a compass!

Materials

Nr.	Date	Script	Additional
1	2018-10-18	Tensor diagrams
2	2018-10-25	The \(\varepsilon\)-tensor
3	2018-11-01	No lecture (All Hallows' Day)
4	2018-11-08	\(\varepsilon\)-tensors & transformations
5	2018-11-15	Discriminants of cubic equations
6	2018-11-22	Euclidean geometry via tensors
7	2018-11-29	Lines in space
8	2018-12-06	Lie & Lorentz coordinates
9	2018-12-13	Lie & Lorentz coordinates, part II
10	2018-12-20	Lorentz & Möbius transformations
11	2019-01-10	Quaternions
12	2019-01-17	Quaternions, part II
13	2019-01-24	Relativistic space-time geometry
14	2019-01-31	Galileo geometry
15	2019-02-07	Cycles

Excercise

Groups

The exercise groups will meet every second week.

Nr.	Day	Time	First date	Room	Tutor
1	Friday	12:00 ‒ 14:00	2018-10-26	MI 00.13.054	Aaron Montag	montagma.tum.de
2	Wednesday	12:00 ‒ 14:00	2018-10-31	MI 02.12.020	Aaron Montag	montagma.tum.de

Sheets

The exercise sheets will be handed out in the lecture in the week in which they are worked on. They will be uploaded in the week before.

Nr.	Sheet	Solution
1	Download	Download
2	Download	Download
3	Download	Download
4	Download	Download
5	Download	Download
6	Download	Download
7	Download	Download

Literature

• Jürgen Richter-Gebert: Perspectives on Projective Geometry (Springer)
• Jürgen Richter-Gebert und Thorsten Orendt Geometriekalküle (Springer)
• Jürgen Richter-Gebert und Peter Lebmeir: Diagrams, Tensors and Geometric Reasoning
• Jim Blinn, Uppers and Downers
• Jim Blinn, Uppers and Downers 2
• Jim Blinn, Polynomial Discriminants: Matrix Magic
• Jim Blinn, Polynomial Discriminants: Tensor Diagrams
• Jim Blinn, Quartic Discriminants and Tensor Invariants
• Jim Blinn, Lines in Space: The 4D Cross Product
• Jim Blinn, Lines in Space: The Line Formulation
• Jim Blinn, Lines in Space: The Two Matrices
• Jim Blinn, Lines in Space: Back to the Diagrams
• Jim Blinn, Lines in Space: A Tale of Two Lines
• Jim Blinn, Lines in Space: Our Friend the Hyperbolic Paraboloid
• Jim Blinn, Lines in Space: The Algebra of Tinkertoys
• Jim Blinn, Lines in Space: Line(s) through Four Lines