Technion - Israel Institute of Technology Department of Mathematics ========== COLLOQUIUM ========== SPEAKER: Dr. Rom Pinchasi, M.I.T. TITLE: On Some Problems Involving Configurations of Points and Lines in the Plane DATE: Monday, January 26, 2004 PLACE: Amado 232 TIME: 15:30 Refreshments will be served in the Faculty Lounge, Room 820, before the Colloquium. ABSTRACT: We will discuss several problems dealing with planar configurations of points and lines. We will consider the celebrated Gallai-Sylvester Theorem which asserts that any finite non-collinear configuration of points in the plane determines a line passing through precisely two of the points. We will present various generalizations of this theorem, including the solution to Bezdek's Conjecture - an analogue for unit circles in the plane. We will discuss also problems about bichromatic sets of points in the plane, and in particular the solution of a conjecture of Baloglu about the minimum number of balanced lines in a configurations of $n$ red and $n$ blue points in the plane. Several other problems will be presented such as Kupitz' Conjecture and more, as time permits. For further information please contact: Meir Katchalski --------------------------------------------------------- Technion Math. Net (TECHMATH) Editor: Michael Cwikel Announcement from: Michael Cwikel