Student Working Seminar in Groups and Dynamics
Spring 2020
Date: | February 3, 2020 |
Time: | 3:00pm |
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. |
Date: | February 17, 2020 |
Time: | 3:00pm |
Location: | BLOC 111 |
Speaker: | Arman Darbinyan |
Title: | Lacunary hyperbolicity and algorithmic problems in groups |
Abstract: | Lacunary hyperbolicity was introduced by Osin, Olshanskii and Sapir as a natural generalization of hyperbolicity from the class of finitely presented groups to the class of finitely generated groups. I will discuss the concept of lacunary hyperbolicity and opulent behavior of classical group theoretical algorithmic problems in that class. |
Date: | February 24, 2020 |
Time: | 3:00pm |
Location: | BLOC 111 |
Speaker: | Konrad Wrobel |
Title: | Coamenable Inclusions of Inner Amenable Groupoids |
Abstract: | Coamenability of groups has been extensively studied since the 60's. We define coamenability of an inclusion of measured groupoids and show inner amenability is preserved under such inclusions. |