# Roberto Svaldi (Cambridge): Log birational boundedness of Calabi-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 almost deduced assuming the BAB conjecture. If time permits, I will discuss applications of this result to boundedness of elliptically fibered Calabi-Yau manifolds.

Published Mar. 20, 2017 10:03 PM
- Last modified Mar. 20, 2017 10:03 PM