|Date: Tuesday, April 17, 2018
Location: 3866 East Hall (3:00 PM to 4:00 PM)
Title: Non-positive curvature in groups
Abstract: Word-hyperbolicity is a robust notion of negative curvature for groups. Examples of word-hyperbolic groups include natural families such as free groups and surface groups; word-hyperbolic groups have desirable properties such as solvable word and conjugacy problems. It is less clear what a good notion of non-positive curvature for groups is. I will talk about the ideas behind word-hyperbolicity and several candidate notions of non-positive curvature (CAT(0), relatively hyperbolicity, and acylindrical hyperbolicity), and mention a theorem of Genevois which offers support for one of these candidates.
Speaker: Feng Zhu
Institution: University of Michigan