Parameter spaces in complex dynamics and related topics

Bounded geometry for PCF points in M_d

speaker: Laura De Marco (Harvard University)

abstract: The geometry of the postcritically finite (or PCF) locus in moduli spaces M_d (of maps on P¹ with degree d) is constrained by their number-theoretic properties. In joint work with Myrto Mavraki and Hexi Ye, we provide uniform bounds on configurations of PCF points in families of subvarieties in M_d. As an example consequence, we deduce that the irreducible components of the Per_n(0) curves in M₂ (which are conjectured by Milnor to be irreducible) have degrees growing to infinity with n.

timetable:
Mon 27 May, 9:00 - 9:50, Aula Dini
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