Hello everyone,
 
The last colloquium talk of the semester will be held on Monday, 17/1/2011,
12:15, Schreiber 006, Tel Aviv University. The speaker is
 
    Hugo Duminil-Copin (University of Geneva)
 
and the title of his talk is
 
    Discrete complex analysis and statistical physics
 
The abstract is given below. Tea and coffee at 12:00, same room.
 
Hope to see you there. For information about future colloquiua, see
 <http://www.math.tau.ac.il/~klartagb/colloq_2010.html>
You are all welcome to suggest colloquium speakers for April, May and June.
 
Yours,
Bo'az
 
-------------------------
 
Abstract: Discrete harmonic and discrete holomorphic functions have been
proved to be very useful in many domains of mathematics. Recently, they have
been at the heart of the two dimensional statistical physics (for instance,
through the works of Kenyon, Schramm, Smirnov and others...). We will
present some of the connections between discrete complex analysis and
statistical physics. In particular (it is a joint work with S. Smirnov), we
will use discrete holomorphic functions to prove that the number a_n of
self-avoiding walks of length n (starting at the origin) on the hexagonal
lattice satisfies:
 
    a_n^{1/n} ----> sqrt(2 + sqrt(2))
 
when n tends to infinity. This confirms a conjecture made by Nienhuis in
1982.
 
---------------------------------------------------------
Technion Math Net-2 (TECHMATH2)
Editor: Michael Cwikel   <techm@math.technion.ac.il> 
Announcement from: Bo'az Klartag   <klartagb@post.tau.ac.il>