Up: Math 227C: Geometric Group Theory

Syllabus for Math 227C: Geometric Group Theory

PDF Version: A PDF version of this syllabus is available here

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)
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/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.

Grading. Your grade will primarily determined by effort (which includes attendance and participation). Assignments given and collected will be commented 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 and enjoying the mathematics.

ADA. Students with disabilities can get assistance from the Disabled Students Program Office (893-2668). I'm happy to work with them and with 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 26/Sep/14 by