Tel Aviv University
 
Hello everyone,
 
The next colloquium talk will be held on Monday, 19/12/2011, 12:15,
Schreiber 006, Tel Aviv University. The speaker is
 
    Frol Zapolsky (LMU Munich)
 
and the title of his talk is
 
    Quasi-states in classical mechanics and applications
 
The abstract is given below. Tea and coffee at 12:00, same room.
 
Hope to see you there. For information about future colloqiua, see
 <http://www.math.tau.ac.il/~klartagb/colloq_2011.html>
 
You are all welcome to suggest colloquium speakers, especially for the end
of January and for the second semester.
 
Yours,
Bo'az
 
-------------
 
Abstract: Motivated by the axiomatic approach to quantum mechanics, we
introduce a certain type of non-linear functionals on the space of
observables in classical mechanics, called quasi-states. Quasi-states exist
on many symplectic manifolds (these are the phase spaces of classical
mechanics). It turns out that a slightly more general kind of functionals,
called partial quasi-states, exist on yet more symplectic manifolds and are
at the intersection of numerous mathematical disciplines - functional
analysis, optimization theory, symplectic geometry, Riemannian geometry, and
others. We explain how the methods of symplectic geometry are used in order
to construct such functionals and present a few of their applications.
 
---------------------------------------------------------
Technion Math Net-2 (TECHMATH2)
Editor: Michael Cwikel   <techm@math.technion.ac.il> 
Announcement from:  <klartagb@post.tau.ac.il>