DYNAMICAL SYSTEMS SEMINARS - On local diffeomorphisms that are injective.
Starts 24 Feb 2011 15:00
Ends 24 Feb 2011 20:00
Central European Time
Leonardo da Vinci Building Luigi Stasi Seminar Room
Strada Costiera, 11
I - 34151 Trieste (Italy)
In this talk, we describe conditions under which maps from the euclidean space to itself are globally injective. In particular, we show some partial results related to the weak Markus-Yamabe conjecture, which states that if a vector field X: R^n →^Rn has the property that, for all p in R^n, all the eigenvalues of DX(p) have negative real part, then X has at most one singularity. We will give special attention to the planar maps.