Hodge loci and atypical intersections: conjectures
arXiv:1711.09387
Abstract
We present a conjecture on the geometry of the Hodge locus of a (graded polarizable, admissible) variation of mixed Hodge structure over a complex smooth quasi-projective base, generalizing to this context the Zilber-Pink Conjecture for mixed Shimura varieties (in particular the André-Oort conjecture).
to appear in the proceedings of the conference "Motives and Complex Multiplication", held in Monte-Verita, August 2016