Title: O-minimality and unlikely intersections for shimura varieties
Speaker: JInbo Ren (IHES)
Time: 2017-8-14, 16:30-17:30
Place: S820
Abstract: Let S be a connected shimura variety and V\subset S be a sub-variety. The André-Oort conjecture asserts that V contains a Zariski dense subset of CM points if and only if V is itself a shimura variety. This conjecture gives a description of the distribution of CM points in a shimura variety. In the first part of my talk, I will show how to use the theory of O-minimality to prove André-Oort conjecture for Siegel modular varieties. In the second part, I will explain how to use a generalization of this idea to describe the distribution of higher dimensional shimura subvarieties. The second part of my talk is joint work with Christopher Daw.