KAWA - Komplex Analysis Workshop VI, 2015

Holomorphic motion for the Julia sets of holomorphic families of endomorphisms of CP(k).

speaker: Fabrizio Bianchi (Université Toulouse III - Università di Pisa)

abstract: We build measurable holomorphic motions for Julia sets of holomorphic families of endomorphisms of CP(k) under various equivalent notions of stability. This generalizes the well-known result obtained by Mane-Sad-Sullivan and Lyubich in dimension 1 and leads to a coherent definition of the bifurcation locus in this setting. Since the usual 1-dimensional techniques no longer apply in higher dimension, our approach is based on ergodic and pluripotential methods. This is a joint work with François Berteloot.

timetable:
Fri 27 Mar, 16:30 - 17:10, Aula Dini
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