Time: Tuesday, August 15, from 2pm to 4pm (Hanoi time).

Venue: Room 301, Building A5, Institute of Mathematics

Abstract: We consider a polynomial mapping F from R^2 to R^2 under the condition that its Jacobian matrix is nonsingular. The real Jacobian conjecture states that F is surjective. The conjecture has been disproved by Pinchuk with a counterexample. Though, the local diffeomorphism F could bring some global property. In this talk, we investigate that problem; more precisely, we show that there exists a natural number N such that the image of F^n is stable for all n>N.