Seminar Event Detail

Student Geometry/Topology

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

Event Organizer:     


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