Technion Mathematics Colloquium Speaker: Frol Zapolsky (LMU Munich) Title: Quasi-states in classical mechanics and applications Time: Monday, December 19, 3:30 pm Place: Amado 232 Homepage: <http://www.technion.ac.il/~yehuday/colloquium/colloq.html> 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 (TECHMATH) Editor: Michael Cwikel <techm@math.technion.ac.il> Announcement from: Amir Yehudayoff <amir.yehudayoff@gmail.com>