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The global geometry of a family of cubic planer harmonic polynomials

Le : 19/05/2015 16h30
Par : Shilei Fan
Lieu : I 103
Lien web :
Résumé : We investigate the global geometry of a family of cubic planer harmonic polynomials from a plan to itself by making use of its critical sets, critical value sets and the pre-images of critical value sets. We want to classify the family of cubic harmonic polynomials, characterize their bifurcation behavior, and obtain the structure stable components.