36th Summer Topology Conference

July 18-22, 2022

University of Vienna, Department of Mathematics
Oskar-Morgenstern-Platz 1, 1090 Vienna, AUSTRIA

"Connected components of Morse boundaries of graph of groups"

Karrer, Annette

Each 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.

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