Connected components of Morse boundaries of graphs of groups

Abstract:

Each finitely generated group 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.

In this talk, we will study connected components of Morse boundaries of a graph of groups \(G\). We will focus on the case where the edge groups are undistorted and do not contribute to the Morse boundary of \(G\). We will describe the connected components of the Morse boundary of \(G\) using the associated Bass-Serre tree. We will see that every connected component of the Morse boundary with at least two points originates from the Morse boundary of a vertex group.

This is joint work with Elia Fioravanti.

algebraic topologydifferential geometrydynamical systemsgroup theorygeometric topologysymplectic geometry

Audience: researchers in the topic

( paper | slides )

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Geometry and topology online

Series comments: You can also find up-to-date information on the seminar homepage - warwick.ac.uk/fac/sci/maths/research/events/seminars/areas/geomtop/

The talks start five minutes after the hour. Talks are typically 55 minutes long, including time for questions.

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