Arithmetic, Geometry, and Topology seminar
Department of Mathematics
Bar Ilan University
Date: wednesday, 5 may '10, at 3:30 pm, in the colloquium room
Speaker: Prof. Alexei Kanel-Belov, Bar Ilan University
Title: Non-standard analysis and the algebra of differential operators
Abstract: Reduction modulo a prime makes the algebra of differential
operators finite-dimensional over the center. The center has the
structure of a Poisson algebra. Reduction modulo an infinite prime
makes it possible to construct a homomorphism between the automorphism
group of the Weil angebram on the one hand, and the group of
polynomial symplectomorphisms, on the other. We discuss the
uniqueness of this homomorphism, i.e. its independence of the choice
of an infinitely large prime. We prove that if this homomorphism is
isomorphism then it is independent of the choice of an infinitely
large prime. We also prove the equivalence between Jacobian and
Dixmier conjectures via infinitely large primes.
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Technion Math Net-2 (TECHMATH2)
Editor: Gershon Wolansky
Announcement from: Colloquium no-reply