On boundedness of some algebraic fiber spaces

On boundedness of some algebraic fiber spaces

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Gabriele Di Cerbo, Princeton University
Fine Hall 322

In this talk I will describe few examples where it is possible to obtain boundedness of the total space of a fibration from boundedness of the bases. The techniques presented will apply to certain Mori fiber spaces and to Calabi-Yau varieties with an elliptic fibration. If time permits, I will discuss some open problems.