The Method of Evaluation
Grading in this part is based on submitted reports on homeworks which will be assigned during the course. (No submission therefore means Nonattendance.)
Course notes will be provided at the ﬁrst lecture time or you can directly refer to the source papers below.
 C.-A. Faure, An elementary proof of the fundamental theorem of projective geometry, Geom. Dedicata, 90(2002), 145–151.
 P.G. Vroegindewey, An algebraic generalization of a theorem of E.C. Zeeman, Indagationes Mathematica, 77(1974), 77–81.
The Plan of the Course
Part 1 is scheduled to be 4/14, 4/21, 4/28, 5/12.
1. Review on aﬃne spaces. 2. Touch of projective spaces. 3. The fundamental theorem of projective geometry. 4. Wigner’s theorem on describing symmetry in quantum mechanics. 5. Alexandrov-Zeeman’s theorem on describing symmetry in special relativity.
Projective geometry, aﬃne geometry, symmetry in physics.
Basic knowledge and skills in linear algebra and set theory.
This course is open for all students in Nagoya University as a part of open subject program. Certain amount of experience in the set-theoretic framework of mathematics is required, however, to get beneﬁts from this part of the course.
Use oﬃce hours (Wed, 13:00–14:00) as a substantial portion of courseworks.