Columbia Mathematics Department Colloquium


Geometry of the Moduli Space of Calabi-Yau manifolds


 Zhiqin Lu  

                                                                   University of California, Irvine



In this talk, I will give an essentially self-contained introduction to the moduli space

 of  Calabi Yau manifolds (CY moduli). The Weil-Petersson metric on the moduli space

 plays an important role. I will begin with the local theory, and use the local theory to study

 the global geometry of the moduli space. I will emphasize on the Gauss-Bonnet theorem,

Chern numbers, etc, on CY moduli. The upshot is, even though we don't know the degenerations

 of CY manifolds, we are still able to define these topological invariants on the moduli space.



  Oct. 20th, Wednesday, 5:00-6:00 pm

Mathematics 520

Tea will be served at 4:30pm