Colloquium & Seminar Schedules
Colloquium Schedules | Seminar Schedules | Past Colloquia
The Mathematics Department colloquium series is usually held on Fridays from 4:10 - 5:00 p.m. throughout the quarter (please check information below for location). Refreshments are served before the colloquium from 3:30 - 4:00 p.m. in the Math Department Conference Room, 25-208B. All interested faculty, staff, students and visitors are welcome to attend and meet the speaker before the colloquium.
Colloquia on topics of particular interest to undergraduates are also held during the quarter. These are scheduled on Thursdays from 11:10 a.m. - 12:00 noon. Check the posted flyers or this website for specific location.
Colloquium Schedule
Fall 2009 Colloquia
- SL(2, Z), the Farey Graph, and the Torus Complex
Brie Finegold, Ph.D. Candidate, University of California, Santa Barbara
Abstract
Given a group, one can always construct a topological space (e.g., the Cayley graph) on which the group acts nicely. By understanding properties of the space, one can then translate those into properties of the group. We will consider the group SL(2, Z) of integer 2 x 2 matrices with determinant one. I will explain how SL(2, Z) acts on the Farey graph and
its dual. Using this fact, we will nd a group presentation (generators and relations) of SL(2, Z). This is a classical application of Bass-Serre Theory. In my research, I generalize this example to build the n-dimensional Torus complex over a ring R, a space on which SL(n, R) acts simplicially. In particular, this gives a palindromic presentation of SL(3, Z).
Seminar Schedule
Algebra Seminar
Fridays, 12:00 p.m. - 1:00 p.m. in 25-208B.
Applied Mathematics Seminar
Anyone interested is welcome to attend. Please check link for meeting time/place and topic.
Geometry-Topology Seminar
Anyone interested is welcome to attend. Please check link for meeting time/place and topic.
Operator Theory Seminar
Mondays, 11:10 a.m. - 12:00 noon in 25-208B.
Past Colloquia
2008-2009 Colloquia (Coming Soon!)
2007-2008 Colloquia
2006-2007 Colloquia
2005-2006 Colloquia
2004-2005 Colloquia
2003-2004 Colloquia
2002-2003 Colloquia
2001-2002 Colloquia
2000-2001 Colloquia
1999-2000 Colloquia
1998-1999 Colloquia