Radu Laza (Stony Brook University)
Title: Moduli and periods beyond the classical cases
Abstract: The period map is the main tool for studying the moduli spaces of abelian varieties and K3 surfaces (and a few other related cases such as Hyperkaehler’s). After a brief review of the classical case, I will discus an on-going program, joint with Green, Griffiths, and Robles, to use the period map for studying moduli spaces when Griffiths’ transversality fails. There are two particular cases that seem approachable with our techniques, namely the case of surfaces of general type with p_g=2 and the case of Calabi-Yau 3-folds.