Student Working Seminar in Groups and Dynamics

Date: February 3, 2020

Time: 3:00PM - 4:00PM

Location: BLOC 111

Speaker: Cosmas Kravaris

Title: On the Finiteness of the Cone Types of finitely generated Abelian Groups

Abstract: In 1980, Cannon defined the notion of a Cone Type for Cayley graphs of finitely generated groups and used it to show that hyperbolic groups have rational growth series. It is an open question which groups have finitely many cone types. In my talk, I will show that the Cayley graph of a finitely generated Abelian Group has finitely many cone types for any generating set.