PDF Version: A PDF version of this syllabus is available
Instructor. Jon McCammond
Office hours. T 1:00-1:50 / Th 12:00-1:50 and by appointment in South Hall 6711
Phone number. 893-2060 (no answering machine)
My Home Page. http://www.math.ucsb.edu/~jon.mccammond/
Course Home Page . http://www.math.ucsb.edu/~jon.mccammond/courses/spring05/227C/
Description. Math 227C is a topics course in topology, broadly
defined. The topic changes from quarter to quarter. The course this
spring will focus on the foundations of geometric group theory. If
you know what a group presentation is---and have mastered the material
in Math 221B Homotopy Theory---then you satisfy the only prerequisites
for the course.
The first part of the course will cover metrics on groups, Dehn's word
problem, basic hyperbolic geometry and Gromov's hyperbolic groups.
The second part will focus on boundaries, ends, splittings,
amalgamations, actions on trees, quasiconvexity and the most prominent
examples of bizarre groups in what some people like to call the ``zoo
of groups''. If time allows, one more advanced topic will be touched upon
at the end the course.