Seminar in Geometry and Topology Gal Binyamini will speak on Multiplicity estimates for algebraic vector fields and foliations Abstract: We consider the problem of estimating the intersection multiplicity between the trajectory of a polynomial vector field and an algebraic hypersurface, or more generally, a polynomial foliation and an algebraic surface of complementary dimension. Good upper bounds have been obtained by Gabrielov and Khovanskii in the case that the foliation is non-singular and the intersection is isolated. We suggest an alternative algebraic approach to the problem, and derive results dropping these two assumptions. The lecture will take place in the Seminar Room, Room 261, Ziskind Building on Tuesday, Feb 14, 2012 16:00 - 17:30

Faculty of Mathematics and Computer Science The Weizmann Institute of Science POB 26, Rehovot 76100, ISRAEL Tel: 972-8-934-3540     Fax: 972-8-934-4122 This file was last modified on Tuesday, 14-Feb-2012 03:00:05 IST.