Hebrew University
Jerusalem Algebra Seminar
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Our first meeting this semester will be held
this Thursday, February 24 2005, at 12:15
(room 209).
Dr. A. Kanel-Belov (HU) will give a talk entitled:
Polynomial authomorphisms, Jacobian, Dixmier and Kontzevich conjectures.
Abstract:
The talk is devoted to the famous Jacobian conjecture:
JC_n: Has any polynomial mapping of $C^n \to C^n$ with constant Jacobian
a polynomial inverse?
Diximer conjecture (DC_n): End(W_n)=Aut(W_n), where
$W_n=C[x_1,\dots,x_n,\partial x_1,\dots,\partial x_n]$.
It was well known that $DC_n$ implies $JC_n$.
Recently, together with Kontzevich, the author proved that
$JC_{2n}$ implies $DC_n$.
This is related to Kontzevich conjecture, saying that $Aut(W_n)$ is
isomorphic to the group of polynomial symplectomorphisms of $C^{2n}$.
These questions are related to describing aut(aut(W_n)). Recently
author proved that the group of algebraic Aut(Aut(C^n)) contains
only inner automorphisms.
All welcome!
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Technion Math Net-2 (TECHMATH2)
Editor: Michael Cwikel
Announcement from: Aner Shalev