## Columbia Mathematics Department
Colloquium

*Geometry of the Moduli Space of Calabi-Yau manifolds*

### by

### Zhiqin Lu

###
University of California, Irvine

Abstract:

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**