Coarse separation in hyperbolic groups and RAAG's

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• Romain Tessera (Université Paris Saclay)
• Tuesday 08 July 2025, 14:00-15:00
• Seminar Room 1, Newton Institute.

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NPCW06 - Non-positive curvature and applications

In a joint work with Bensaid and Genevois, we characterize among a vast class of groups those which can be coarsely separated by subsets of subexponential growth. For instance, we prove that such a hyperbolic group must virtually split over a cyclic group, or that the defining graph of such a RAAG must be separated by a clique. Our notion of coarse separation arises from the study of coarse embeddings into wreath products H\wr G with lamp group H of subexponential growth or into amalgamated products over non-distorted subgroups of subexponential growth.

This talk is part of the Isaac Newton Institute Seminar Series series.

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