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Monthly Archives: June 2017
Notes of Gang Tian’s Orsay lecture 28062017
Existence of conic KaehlerEinstein metrics Joint work with Feng Wang, Zhejiang university. A logFano manifold is the date of a compact Kaehler manifold , a divisor with normal crossings such that the line bundle is positive. A metric is a … Continue reading
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Notes of Oana Ivanovici’s Orsay lecture 28062017
Geometry and analysis of waves in manifolds with boundary The wavefront is a subset of the cotangent bundle, whose projection is the singular support. In all dimensions, in Euclidean space, it travels at constant speed along straight lines (Fermat,…, Hormander). … Continue reading
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Notes of Erlend Grong’s Orsay lecture 27062017
Asymptotic expansions of holonomy Joint with Pierre Pansu. 1. Motivation Given a connection on a principal bundle , holonomy along a based loop of is an element of resulting from lifting horizontally to . We look for an expression such … Continue reading
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