Hugo Come, Dynamics and bifurcation of families of complex polynomials

par M. Hugo Come (Institut Denis Poisson, CNRS)

jeudi 5 févr. 2026, 10:30 → 12:30 Europe/Paris

Salle de séminaire (IDP-Orléans)

Complex polynomial dynamics presents some chaotic behavior. One of the goal of complex dynamics is to characterize those chaotic points and understand their structure. This leads to the study of fractal sets.
In the same way, if we parametrize the polynomial considered we can wonder how the associated dynamics depends on the parameter and see if it it stable or not. In the parameter space the unstable parameters forms a fractal set, called the bifurcation locus, that we seek to understand. In this talk we present tools to study them.