Gabriele Di Cerbo (Columbia)
PDL C-36
Pre-seminar
When: 1:30--2:15 Tuesday 21 February
Where: PDL C-36
Title: Boundedness in birational geometry
Abstract:
I will give an overview of the minimal model program with a focus on boundedness questions. The main goal is to understand pluricanonical maps of varieties of positive Kodaira dimension and how boundedness of Calabi-Yau manifolds enters in this picture.
Seminar
When: 2:30--3:20 Tuesday 21 February
Where: PDL C-36
Title: Boundedness of Calabi-Yau pairs
Abstract: I will discuss 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 implies boundednessof elliptically fibered Calabi-Yau manifolds with a section.