##### Department of Mathematics,

University of California San Diego

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### Algebraic Geometry Seminar

## Burt Totaro

#### UCLA

## Hodge theory for algebraic surfaces with maximal Picard number

##### Abstract:

A smooth complex projective surface X always has Picard number at most equal to the Hodge number $h^{1,1}$. If equality holds, we say that X has maximal Picard number. The known examples of such surfaces (recently surveyed by Beauville) are rare and sporadic. We try to explain this rarity by studying the Hodge structure of such a surface.

Host: James McKernan

### May 7, 2014

### 4:00 PM

### AP&M 7218

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