Log birational boundedness of Calabi-Yau pairs

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• Roberto Svaldi (Cambridge/Trieste)
• Wednesday 01 March 2017, 14:15-15:15
• CMS MR13.

If you have a question about this talk, please contact Caucher Birkar.

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. I will discuss applications of this result to elliptically fibered Calabi-Yau manifolds.

This talk is part of the Algebraic Geometry Seminar series.

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