Pure Maths Colloquium: Exterior Differential Systems and Variations of Hodge Structure
26 May 2009 16:15 in CM101
Aside from the classical case of abelian varieties, the period matrices of a family of algebraic varieties satisfy a system of partial differential equations. We will explain two algebro-geometric implications of the integrability conditions of this PDE system. If time permits, we will also discuss one seemingly far-reaching conjecture.