Up: Fall 2011 Schedule

Math 227A: Coxeter groups and reflection symmetries

Instructor. Jon McCammond
Office hours. T 8:30-9:20, W 9-10:50 and by appointment in South Hall 6711
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/fall11/227A/

Math 227 is a topics course in topology, broadly defined. The topic changes from quarter to quarter. This quarter the focus is on the geometry, topology and combinatorics of Coxeter groups and reflection symmetries. After a detailed consideration of the motivating cases of spherical and euclidean discrete reflection groups, the general theory of Coxeter groups will be discussed with a focus on their standard faithful linear representations and the nonpositively curved piecewise euclidean complexes on which they act geometrically.



Last Modified on 22/Sep/11 by