Department of Mathematics University of Haifa Topology and Geometry Seminar **** CHANGE in SPEAKER **** Speaker: Prof. Maxim E. Kazarian MIAN & IUM, Moscow Title: KP hierarchy and enumerative geometry Date: Tuesday, April 5, 2011 Place: Room 614 of the Science & Education Building, Univ. of Haifa Time: 14:10 Abstract The Kadomtsev-Petviashvili hierarchy is a particular remarkable system of PDEs. It turns out that generating functions of a number of enumerative problems in complex geometry are solutions to these equations. This includes, in particular, the Hurwitz potential that governs the enumeration of ramified coverings of the sphere, the Witten-Kontsevich potential responsible for the intersection theory on moduli spaces, and also the generating series for residual polynomials appearing in the enumeration of multisingularities of holomorphic mappings. The goal of the talk is to review the geometric viewpoint to the theory of KP hierarchy and to explain the reason of its appearance in the above mentioned enumerative problems. --------------------------------------------------------- Technion Math Net-2 (TECHMATH2) Editor: Michael Cwikel <techm@math.technion.ac.il> Announcement from: David Blanc <blanc@math.haifa.ac.il>