Seminar series
Date
Tue, 02 Dec 2014
Time
12:00 -
13:00
Location
L5
Speaker
Boris Zilber
We treat the problem of geometric interpretation of the formalism
of algebraic quantum mechanics as a special case of the general problem of
extending classical 'algebra - geometry' dualities (such as the
Gel'fand-Naimark theorem) to non-commutative setting.
I will report on some progress in establishing such dualities. In
particular, it leads to a theory of approximate representations of Weyl
algebras
in finite dimensional "Hilbert spaces". Some calculations based on this
theory will be discussed.