Speaker：Paolo Cascini（Imperial College London）

Time：2026-11-16 14:30

Location：Conference Room C802 at Administration Building at Haiyun Campus

Abstract:

One of the central goals of algebraic geometry is to understand and classify geometric shapes defined by polynomial equations. Over the past decades, the Minimal Model Program has provided a powerful framework for studying these objects by simplifying their geometry through a sequence of birational transformations. More recently, many of these ideas have been extended to the study of foliations, which describe how a geometric space can be decomposed into families of lower-dimensional subspaces, called leaves. In this talk, I will introduce some of the main ideas behind the Minimal Model Program, explain how they can be adapted to foliations, and discuss recent progress and applications.