Geometry Date:  Friday, January 18, 2013 Location:  3096 East Hall (3:00 PM to 4:00 PM) Title:  Old School Topology and Invariants of CAT(0) Group Boundaries Abstract:   Recently there has been a surge of interest in "coarse invariants" of groups. This has led geometric group theorists to return to the classical notions of shape equivalence and cell-like equivalence. It has been shown by Bestvina and Geoghegan that all CAT(0) boundaries of a group are shape equivalent, and Bestvina has asked if they all satisfy the stronger notion of cell-like equivalence. In joint work with Craig Guilbault, we have shown that the answer is "Yes" for an interesting family of groups introduced by Croke and Kleiner. This family includes many of the known examples of groups with multiple boundaries. This talk will begin with a crash-course review of shape equivalence and cell-like equivalence. It will then move to our approach and cover some of the important points in the proof of our theorem. Speaker:  Christopher Mooney Institution:  Bradley University Event Organizer:   Spatzier      Edit this event (login required). Add new event (login required). For access requests and instructions, contact math-webmaster@umich.edu Back to previous page Back to UM Math seminars/events page.