几何与拓扑讨论班——An Introduction to Foliations and the Minimal Model Program 

报告人：Jihao Liu，Peking University

时间：2025年3月4日

地点：紫金港校区东7数高院一楼报告厅

组织者：

Hana Jia Kong, Song Sun,

Lei Wu, Weiwei Wu

Pretalk

主题：An Introduction to Foliations and the Minimal Model Program

时间：16:15-16:45 

摘要：This pretalk will provide an overview of foliations from the perspective of birational geometry, along with an introduction to the minimal model program for foliations. We will discuss foundational concepts and set the stage for the main talk, which explores recent advances in the field.

Research Talk

主题：Boundedness of Algebraically Integrable Fano Foliations

时间：16:45-17:35

摘要：In this talk, I will discuss a recent joint work with Paolo Cascini, Jingjun Han, Fanjun Meng, Calum Spicer, Roberto Svaldi, and Linyao Xie. We establish two key results: (1) the existence of good minimal models for klt algebraically integrable adjoint foliated structures of general type, and (2) the boundedness of \epsilon-lc Fano algebraically integrable adjoint foliated structures. These results are analogues of the BCHM and BAB theorems respectively in the context of algebraically integrable foliations/adjoint foliated structures.