CRM: Centro De Giorgi
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Topological and Combinatorial Problems in One-dimensional Complex Dynamics

Multicorns are Not Pathwise Connected

speaker: Dierk Schleicher (Aix-Marseille University)

abstract: Multicorns are the connectedness loci in the spaces of antiholomorphic quadratic polynomials $z\mapsto \ovl zd+c$, containing Milnor's tricorn for $d=2$. We prove that Multicorns are not locally connected and not even pathwise connected, confirming an observation of John Milnor of 1992. This is joint work with John Hubbard (Cornell and Marseille).


timetable:
Tue 15 Oct, 14:30 - 15:30, Aula Dini
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