Tuesday, March 31Tim Riley, University of Bristol and Cornell University (soon)
Loops in Euclidean space bound discs of area at most a constant times the square of their length — that is, Euclidean space "enjoys a quadratic isoperimetric inequality". To a finitely presentable group, one can associate a simply connected space modeling the group geometrically. The group "has a quadratic Dehn function" when this space enjoys a quadratic isoperimetric inequality. I will survey this class of groups.Back to seminar home page.