Department of Mathematics University of Haifa Topology and Geometry Seminar Speaker: Yonatan Harpaz The Hebrew University Title: Homotopy Theory and Solubility of Diophantine Equations Date: Tuesday, March 22, 2011 Place: Room 614 of the Science & Education Building, Univ. of Haifa Time: 14:10 ==> NOTE SPECIAL DAY !! <===== Abstract The problem of determining the existence of rational solutions to Diophantine equations is one of the oldest and most classical problems of number theory. If such a solution exists one can in principle prove it by presenting it, but to prove that there is no solution is a much more elusive matter. Methods which can do this task to some extent are generally referred to as obstructions. In this work we show how to construct obstructions from a certain homotopy theoretic incarnation of X. This allows one to recover many of the previously known obstructions under a unified homotopy-theoretic framework and to shed some light on the relations between them. This is joint work with T. Schlank. --------------------------------------------------------- Technion Math Net-2 (TECHMATH2) Editor: Michael Cwikel <techm@math.technion.ac.il> Announcement from: David Blanc <blanc@math.haifa.ac.il>