In-Person Talk 

The period map is a key tool for studying moduli spaces for K-trivial varieties, especially abelian varieties and K3 surfaces. In recent years, many of the results on period maps that hold for K3 surfaces have been generalized to hyper-Kaehler manifolds. In this talk, I will discuss (and speculate) on certain aspects of period maps for the next level of complexity, the Calabi-Yau threefolds.