On the boundedness of elliptically fibered varieties
In this talk, we will survey some ideas to address the boundedness of varieties admitting an elliptic fibration. After introducing general ideas, we will discuss how they apply concretely to special classes of varieties: n-folds of Kodaira dimension n-1, and elliptic Calabi–Yau varieties. Part of this talk is based on current work in progress joint with C.D. Hacon and R. Svaldi.