The Andre-Oort conjecture I

Topology of Algebraic Varieties
Topic:The Andre-Oort conjecture I
Speaker:Bruno Klingler
Affiliation:Université Paris Diderot; Member, School of Mathematics
Date:Tuesday, December 9
Time/Room:11:00am - 12:30pm/Physics Library, Bloomberg Hall 201

The Andre-Oort conjecture describes the expected distribution of special points on Shimura varieties (typically: the distribution in the moduli space of principally polarized Abelian varieties of points corresponding to Abelian varieties with complex multiplication). From the point of view of Hodge theory, it completely describes the geometric properties of the Hodge locus in some special instances. In these lectures I will try to introduce Shimura varieties, the Andre-Oort conjecture and recent work on it.