Colloquium Lectures

Homotopy invariants of manifolds: from H.Poincaré to nowadays
Speaker: Prof. A.S.Mishchenko, Lomonosov Moscow State University

Time: 9h30, Friday,  January 15, 2016
Venue: Room 301, Building A5, Institute of Mathematics, VAST, 18 Hoang Quoc Viet, Cau Giay, Ha Noi.
Abstract: H.Poincare in his prominent paper "Analysis situs" (1895) represented the first systematic study of topology. Especially he  discovered so called Poincare duality that says " the Betti numbers equidistant from the ends are equal".
This fundamental property of closed manifolds has very large generalization up to homotopy invariants of non simply connected manifolds. In my lecture I shall describe the methods of so called noncommutative geometry and toplogy to different contemporary problems of differential topology.