Algebraic Geometry Seminar

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Log Birational Boundedness of Calabi-Yau Pairs

Speaker: Gabriele di Cerbo, Columbia University

Location: Warren Weaver Hall 1314

Date: Tuesday, October 18, 2016, 3:30 p.m.

Synopsis:

I will discuss a joint work with Roberto Svaldi 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. This result can be thought as a first step towards boundedness to elliptically fibered Calabi-Yau manifolds.