Speaker: Prof. Gregorio Baldi ,CNRS

Title: Geometric applications of Zilber-Pink

Language: English

Time & Venue: 2024.04.17 14:00-15:30 MCM110 & Online Zoom ID: 3329836068 Password: mcm1234
Abstract: Many manifolds M come naturally with a distinguished class of submanifolds (M_i)_i exhibiting a special behaviour. Examples include abelian varieties with sub-abelian varieties; Shimura varieties and more general period domains with sub-Shimura varieties and sub-period domains; and locally homogeneous spaces with totally geodesic sub-spaces. Given a submanifold S of M, one then obtains a distinguished class of special intersections S \cap M_i. The Zilber-Pink viewpoint suggests that the distribution behaviour of the special intersections can often be understood by simple dimension criteria.

We will present the general theory in its Hodge theoretic incarnation, as well as applications regarding representations of complex hyperbolic lattices and the distribution of orbit closures in strata of abelian differentials.