##### Department of Mathematics,

University of California San Diego

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### Algebraic Geometry Seminar

## Roberto Svaldi

#### University of Cambridge

## Log birational boundedness of Calami-Yau pairs

##### Abstract:

I will discuss joint work with Gabriele Di Cerbo on boundedness of Calabi-Yau pairs. Recent works in the minimal model program suggest that pairs with trivial log canonical class should satisfy some boundedness properties. I will show that Calabi-Yau pairs which are not birational to a product are indeed log birationally bounded, if the dimension is less than 4. In higher dimensions, the same statement can be deduced assuming the BAB conjecture. If time permits, I will discuss applications of this result to elliptically fibered Calabi-Yau manifolds.

Host: James McKernan

### November 4, 2016

### 2:00 PM

### AP&M 5829

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