Seminar in Real & Complex Geometry
Tuesday, 22.05.2012, 15:0016:30,
Schreiber
building, room 210
Alexei KanelBelov,
BarIlan University
Polynomial automorphisms and Jacobian conjecture
Abstract
Let $F:C^n\to C^n$ be a polynomial mapping. When is it invertible?
The famous Jacobian conjecture says that the local invertibility implies
the global invertibility. It is equivalent to Dixmier conjecture saying
that $Aut(W_n)=End(W_n)$. Proof of the equivalence uses reduction to
prime characteristics and quantization.
We discourse relations betveen polynomial automorphism and
quantization problems, structure of infinitedimensional algebraic
groups.
