Quasi-isometries of groups and spaces
- Series
- Research Horizons Seminar
- Time
- Tuesday, April 27, 2010 - 12:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 255
- Speaker
- Igor Belegradek – Professor, School of Mathematics
Please Note: Hosted by: Huy Huynh and Yao Li
A starting point of geometric group theory is thinking of a group
as a geometric object, by giving it a metric induced from the
Cayley graph of the group. Gromov initiated a program of studying
groups up to quasi-isometries, which are ``bilipschitz maps up to bounded additive error". Quasi-isometries ignore local
structure and preserve asymptotic properties of a metric space. In the talk I will give a sample of results, examples, and open
questions in this area.