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Group actions on spaces with a distinguished geodesic structure

Presented by: 
Urs Lang ETH Zürich
Date: 
Wednesday 11th January 2017 - 13:30 to 14:30
Venue: 
INI Seminar Room 1
Abstract: 

 

 

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.

 

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons