Equidistribution of Hodge loci

Name: Equidistribution of Hodge loci
Start: 2022-02-01T15:00:00-05:00
End: 2022-02-01T16:00:00-05:00
Location: Science Center 507

SEMINARS: HARVARD-MIT ALGEBRAIC GEOMETRY

When: February 1, 2022

3:00 pm - 4:00 pm

Where: Science Center 507

Address: 1 Oxford Street, Cambridge, MA 02138, United States

Given a polarized variation of Hodge structures, the Hodge locus is a countable union of proper algebraic subvarieties where extra Hodge classes appear. In this talk, I will explain a general equidistribution theorem for these Hodge loci and explain several applications: equidistribution of higher codimension Noether-Lefschetz

loci, equidistribution of Hecke translates of a curve in the moduli space of abelian varieties and equidistribution of some families of CM points in Shimura varieties. The results of this talk are joint work with Nicolas Tholozan.