Colleen Robles : Schubert varieties as variations of Hodge structure

Posted by Izzet Coskun , part of the Algebraic Geometry Seminar.

At

Feb. 19, 2013, 4 p.m.

In

SEO 1227

Abstract

I will characterize the Schubert varieties that arise as variations of Hodge structure (VHS). I will also discuss the central role that these Schubert VHS play in our study of arbitrary VHS. In particular: (i) infinitesimally their orbits under the isotropy action `span' the space of all VHS, yielding a complete description of the infinitesimal VHS; (ii) the cohomology classes dual to the Schubert VHS form an (integral) basis of the invariant characteristic cohomology associated to the system of PDE (Griffiths transversality) characterizing VHS.