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Tag Archives: Cambridge NPC seminar
Notes of Karen Vogtmann’s second Cambridge lecture 23062017
The borders of Outer Space Joint work with KaiUwe Bux and Peter Smillie. 1. Duality groups I am interested in Poincare duality. For a group, assume is a smooth manifold, then BieriEckmann observed that is suffices that acts freely cocompactly … Continue reading
Notes of Grigori Avramidi’s Cambridge lecture 23062017
Topology of ends of nonpositively curved manifolds Joint work with T. Nguyen Pham. I am interested in complete Riemannian manifolds with curvature in , and finite volume. Example. Product of two hyperbolic surfaces. The end is homeomorphic to , with … Continue reading
Notes of Christopher Leininger’s Cambridge lecture 23062017
Freebycyclic groups and trees Joint work with S. Dowdall and I. Kapovich. The BieriNeumannStrebel invariant is an open subset of , it is the set of such that is surjective on . Here, is the torsion free abelian cover of … Continue reading
Notes of Kevin Shreve’s Cambridge lecture 23062017
Action dimension and Cohomology Joint work with Giang Le and Mike Davis. 1. Action dimension This is the minimal dimension of contractible manifolds which admit a proper action. The geometric dimension replaces manifolds with complexes. 1.1. Examples If is of … Continue reading
Notes of Bill Goldman’s Cambridge lecture 23062017
The dynamics of classifying geometric structures 1. Marked geometric structures Moduli spaces of geometric structures do not all behave like the moduli space of Riemann surfaces: in general, it is not a well behaved space, it is a quotient by … Continue reading
Notes of Denis Osin’s Cambridge lecture 22062017
Extending group actions on metric spaces Joint work with David Hume and C. Abbott. Question. Let be groups. Given an isometric action of on a metric space , does it extend to an action on a (possibly different) metric space … Continue reading
Notes of JeanFrançois Lafont’s Cambridge lecture 22062017
Hyperbolic groups whose boundary is a Sierpinski space Joint work with Bena Tshishiku. 1. Sierpinski space Start with an dimensional sphere. Remove a dense family of balls with disjoint interiors. Get . Up to homeo, balls need not be round. … Continue reading