Hyperbolic groups and the cops and robbers game

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• Raphael Appenzeller, Heidelberg
• Friday 13 June 2025, 13:45-14:45
• MR20.

If you have a question about this talk, please contact Francesco Fournier-Facio.

The cop numbers are two new integer-valued invariants of finitely generated groups defined in terms of winning strategies in two player “cops and robbers” pursuit game played on Cayley graphs. We use the cop numbers to give a new characterization of hyperbolic groups and virtually free groups. We discuss examples, potential applications and open questions. This is joint work with Kevin Klinge.

This talk is part of the Geometric Group Theory (GGT) Seminar series.

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