"Connected components of Morse boundaries of graph of groups"
Karrer, AnnetteEach finitely generated group G has a topological space associated to it called the Morse boundary. This boundary generalizes the Gromov boundary of Gromov-hyperbolic groups and captures how similar the group is to a Gromov-hyperbolic group. Let G be a graph of groups where the edge groups are undistorted and do not contribute to the Morse boundary of G. I will explain why then each connected component of the Morse boundary with at least two points originate from the Morse boundary of a vertex group. This is joint work with Elia Fioravanti.