Title of Seminar: Infosys Chandrasekharan Random Geometry Colloquium
Title of Talk: Uniform exponential growth for CAT(0) cube complexes
Speaker: Radhika Gupta, Temple University
Date: March 22, 2021
Time: 18:00:00 Hours
Venue: via Zoom
Abstract: Kar and Sageev showed that if a group acts freely on a CAT(0) square complex, then it either has uniform exponential growth or it is virtually abelian. The behavior, in this sense, of a group that acts by isometries on a higher dimensional CAT(0) cube complex is not known. In this talk, I will present some generalizations of their theorem. On the one hand we allow the action to be proper instead of free and on the other hand we assume our space has isolated flats. I will define exponential growth and also present the general strategy to obtain a result like that of Kar--Sageev. This is joint work with Kasia Jankiewicz and Thomas Ng.
Title of Talk: Uniform exponential growth for CAT(0) cube complexes
Speaker: Radhika Gupta, Temple University
Date: March 22, 2021
Time: 18:00:00 Hours
Venue: via Zoom
Abstract: Kar and Sageev showed that if a group acts freely on a CAT(0) square complex, then it either has uniform exponential growth or it is virtually abelian. The behavior, in this sense, of a group that acts by isometries on a higher dimensional CAT(0) cube complex is not known. In this talk, I will present some generalizations of their theorem. On the one hand we allow the action to be proper instead of free and on the other hand we assume our space has isolated flats. I will define exponential growth and also present the general strategy to obtain a result like that of Kar--Sageev. This is joint work with Kasia Jankiewicz and Thomas Ng.