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>