##### Department of Mathematics,

University of California San Diego

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### Math 258 - Differential Geometry (with UCI)

## Andrey Todorov

#### UC Santa Cruz

## CY manifolds whose moduli space is a locally symmetric space

##### Abstract:

In this talk we will discuss CY manifolds that are double covers of $CP^3$ ramified over 8 planes. We will show that the moduli space of those CY manifolds is a locally symmetric space. The proof of this fact is based on the proof that the Yukawa coupling does not admit quantum corrections. The meaning of this statement will be explain.

Host: Lei Ni

### October 5, 2004

### 3:00 PM

### AP&M 6438

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