A case of the dynamical André-Oort conjecture

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• Holly Krieger (MIT)
• Wednesday 03 June 2015, 15:30-16:30
• CMS, MR13.

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I will introduce the basic objects of study in moduli spaces arising in complex dynamics, such as Julia sets, the Mandelbrot set, and post-critically finite maps. I will discuss the André-Oort phenomenon in the dynamical setting as first studied by Baker-DeMarco. Recently, Ghioca, Nguyen, Ye, and myself proved a case of the dynamical André-Oort conjecture; I will discuss our work, and why our proof includes an analysis of the combinatorial structure of the Mandelbrot set.

This talk is part of the Special DPMMS Colloquium series.

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