Séminaire des doctorants Orléans

Hugo Come, Dynamics and bifurcation of families of complex polynomials
Hugo Come (Institut Denis Poisson, CNRS)
Thursday 05 February 2026 10:30 -  IDP-Orléans -  Salle de séminaire

Résumé :

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.

Liens :

• Indico