We describe the action of symplectic group on homogeneous space squeezed states (quantum blobs) and extend this to semigroup. then metaplectic representation (or oscillator) semigroup study properties such an extension using Bargmann-Fock space. The shape geometry squeezing is analyzed noncommuting elements from are proposed be used in simultaneous monitoring quantum variables — which should le...

Let k be an algebraically closed field of characteristic > 2, F = k((t)) and G = Sp 2d . In this paper we propose a geometric analog of the Weil representation of the metaplectic group G̃(F ). This is a category of perverse sheaves on some stack, on which G̃(F ) acts by functors. This construction will be used in [5] (and subsequent publications) for the proof of the geometric Langlands functoria...