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Group actions on spaces with a distinguished geodesic structure

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NPCW01 - Non-positive curvature in action

Co-authors: Giuliano Basso (ETH Zurich), Dominic Descombes (ETH Zurich), Benjamin Miesch (ETH Zurich)
A geodesic bicombing on a metric space selects for every pair of points a geodesic connecting them. The existence of a geodesic bicombing satisfying a suitable convexity condition may be viewed as a weak (but non-coarse) global notion of non-positive curvature that allows for non-unique geodesics. The talk will give a survey of recent results on group actions on spaces with such a structure.

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

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