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>