##### Department of Mathematics,

University of California San Diego

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### Math 203A - Algebraic Geometry

## Gregory Pearlstein

#### Texas A&M University

## Torelli theorems for special Horikawa surfaces and special cubic 4-folds

##### Abstract:

We will discuss recent work with Z. Zhang on Torelli theorems for bidouble covers of a smooth quintic curve and 2 lines in the plane, and cubic 4-folds arising from a cubic 3-fold and a hyperplane intersecting transversely in $P^4$. The talk for graduate students will be, ``Abelian Varieties and the Torelli Theorem''. I will explain what an Abelian variety is, and discuss the Torelli theorem for curves.

Host: Elham Izadi

### December 8, 2017

### 1:30 PM

### AP&M B412

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