Department of Mathematics University of Haifa Special Topology and Geometry Seminar Speaker: Michael Brandenbursky Vanderbilt University Title: Quasi-isometric embeddings, quasi-morphisms, L^p-metrics and groups of volume-preserving diffeomorphisms Date: Thursday, May 10, 2012 Place: Room 614 of the Science & Education Building, Univ. of Haifa Time: 12:10 ===> Note special day !! <=== Abstract: Let M be a smooth compact connected oriented manifold of dimension at least two endowed with a volume form. Assuming certain conditions on the fundamental group of M, we will construct quasi-isometric embeddings of either free Abelian or direct products of non-Abelian free groups into the group of volume-preserving diffeomorphisms of M equipped with the L^p metric induced by a Riemannian metric on M. If time permits we will explain a relation between quasi-morphisms, the L^p metrics and quasi-isometric embeddings of vector spaces into the above group. This talk is partially based on the joint work with Jarek Kedra. Everybody is welcome---this talk will be self-contained: no prior knowledge in the subject is assumed. --------------------------------------------------------- Technion Math Net-2 (TECHMATH2) Editor: Michael Cwikel <techm@math.technion.ac.il> Announcement from: David Blanc <blanc@math.haifa.ac.il>