Boundedness of Calabi-Yau pairs
-- Gabriele di Cerbo, March 3, 2017

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I will discuss joint work with Roberto Svaldi on
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 Calabi-Yau pairs
which are not birational to a product are indeed log birationally
bounded. This implies boundedness of elliptically fibered Calabi-Yau
manifolds with a section.