Up: Math 227: Advanced Topics in Topology

Syllabus for Math 227C

Instructor. Jon McCammond
Office hours. TR 12:30-2:00 and by appointment in South Hall 6711
Phone number. 893-2060 (no answering machine)
E-mail. jon.mccammond@math.ucsb.edu
My Home Page. http://www.math.ucsb.edu/~jon.mccammond/
Course Home Page . http://www.math.ucsb.edu/~jon.mccammond/courses/spring04/227/

Syllabus. A pdf version will be available soon

Reflection groups and invariant theory, by Richard Kane (CMS Books in Mathematics)

Metric spaces of non-positive curvature, by Martin Bridson and Andre Haefliger (Springer)

Description. The class is designed as an introduction to selected key topics in geometric group theory. This quarter, the topics will be Coxeter groups, Artin groups and non-positive curvature. The first third of the course will introduce Coxeter groups and establish some of their main properties. The second third will be devoted to the theory of non-positive curvature, culminating in a proof of Moussong's result that all Coxeter groups are CAT(0) groups. Finally, the remaining third will focus on the closely related class of Artin groups (as a generalization of the braid groups) and survey what is currently known about their curvature.

Grading. Your grade will primarily determined by effort (which includes attendance and participation). I will be giving and collecting various assignments, which I will comment on, but the only aspect which effects your grade is whether you did the assignment and how much effort you put into it. The purpose here is to have the grading recede into the background so that you can concentrate on learning the material

ADA. Students with disabilities can get assistance from the Disabled Students Program Office (893-2668). I'm happy to work with them and you.

Copyright Information. Please note that all written and web materials for this course have an implied copyright. In particular, you can xerox (or download) for your own use, but you may not reproduce them for others.

Last Modified on 07/Apr/04 by jon.mccammond(at)math.ucsb.edu.