Algebraic Geometry Seminar
Colleen Robles
Texas AM
Schubert varieties as variations of Hodge structure
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.
Tuesday February 19, 2013 at 4:00 PM in SEO 1227