香蕉视频

Title: From Stalling's Theorem to Morse boundaries.

础产蝉迟谤补肠迟:听Every finitely generated group G has an associated topological space, called a Morse boundary. It was introduced by a combination of Cordes and Charney--Sultan and captures the hyperbolic-like behavior of G at infinity. In this talk, I will motivate the research on Morse boundaries in several steps. First, I will explain Stalling's theorem -- a fundamental theorem in geometric group theory. Afterward, I will explain an analogous statement for so-called Gromov boundaries of Gromov-hyperbolic groups. As Morse boundaries generalize Gromov boundaries, this raises the question as to whether one can generalize this statement to Morse boundaries. Finally, we will see the relationship between a result on Morse boundaries of graphs of groups and this problem. Results presented are joint with Elia Fioravanti.