Holly Krieger: A case of the dynamical André-Oort conjecture

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In the past few years, conjectures have been made and partial results achieved on unlikely intersections in complex dynamics, following the program initiated by Baker-DeMarco. I will explain their dynamical generalization of the famous André-Oort conjecture on CM points in moduli spaces of abelian varieties. Ghioca, Nguyen, Ye, and myself recently proved the first complete case of this conjecture, for pairs of unicritical polynomials, and I will discuss our result and the connection to invariant subvarieties of P1×P1, and the structure of the Mandelbrot set.

Recording during the thematic meeting: "Model theory, difference/differential equations and applications" the April 09, 2015 at the Centre International de Rencontres Mathématiques (Marseille, France)

Видео Holly Krieger: A case of the dynamical André-Oort conjecture канала Centre International de Rencontres Mathématiques