Perspectives in Mathematical Sciences

This portion of the course is taught in five lectures from October 4 through November 1. The subject is scissor's congruence for polyhedra in three dimensional euclidean space and Hilbert's third problem. Here is a more detailed syllabus.

Text: Johan L. Dupont, Scissors congruences, group homology and characteristic classes, Nankai Tracts in Mathematics, vol. 1, World Scientific 2001.

Time and place: Tuesday 2:45-4:15 in Science Building 1, room 109.

Lecture notes: The Lecture Notes are updated each week. Here is a current list of content:

Lecture 1: Hilbert's third problem.
Lecture 2: The Dehn invariant.
Lecture 3: The scissor's congruence group.
Lecture 4: The group P(R³).
Lecture 5: Group homology.

Report problems:

Problem 1. Due Tuesday, October 25, at 5 pm.