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Parameter spaces in complex dynamics and related topics

Bifurcation loci as (shadows of) Julia sets

speaker: Fabrizio Bianchi (Università di Pisa)

abstract: We show that the bifurcation loci of holomorphic families of rational maps (and more generally of endomorphisms of P^k in any dimension) can be seen as the projection of a suitably defined Julia set for a self-map of a higher-dimensional space. A similar statement holds for the bifurcation currents, and permits the study of the bifurcation loci and currents using dynamical tools typical of phase spaces. This is a joint work with F. Berteloot and T.-C. Dinh.

timetable:
Mon 27 May, 14:30 - 15:20, Aula Dini
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