Completion of the moduli space for polarized Calabi-Yau manifolds

Yuguang Zhang

In this talk, we construct a completion of the moduli space for polarized Calabi-Yau manifolds by using Ricci-flat Kahler-Einstein metrics and the Gromov-Hausdorff topology, which parametrizes certain Calabi-Yau varieties. We then study the algebro-geometric properties of such completion.

http://scgp.stonybrook.edu/video_portal/video.php?id=2211

Simons- Program: Moduli spaces and singularities in algebraic and Riemannian geometry