|Parent Program:||Model Theory, Arithmetic Geometry and Number Theory|
|Location:||MSRI: Simons Auditorium|
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, and present Baker-DeMarco's dynamical analogue of the Andre-Oort conjecture. A case of their conjecture was recently proved by Ghioca, Nguyen, and myself; I will discuss this
case and it's proof, which as a by-product answered the easily-formulated question: Is the Mandelbrot set a filled Julia set? This talk will be aimed at a general audience.