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Log birational boundedness of Calabi-Yau pairs

Gabriele Di Cerbo
Institution: 
Princeton University
Location: 
A-136
Schedule: 
Wednesday, August 2, 2017 - 14:00
Abstract: 

I will discuss new results towards the birational boundedness of Calabi-Yau pairs. Recent work in the minimal model program suggests that pairs with trivial log canonical class should satisfy some boundedness properties. I will show that 4-dimensional Calabi-Yau pairs which are not birational to a product are indeed log birationally bounded. This implies birational boundedness of elliptically fibered Calabi-Yau manifolds with a section, in dimension up to 5. This is joint work with Roberto Svaldi.

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