Seminar by Jihao Liu: Boundedness of Algebraically Integrable Fano Foliations
Date: Tuesday, March 4
Venue: Lecture Hall of IASM
Speaker: Jihao Liu 刘济豪 (Peking University)
Pretalk: An Introduction to Foliations and the Minimal Model Program
Time: 16:15-16:45
Abstract: 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: Boundedness of Algebraically Integrable Fano Foliations
Time: 16:45-17:35
Abstract: 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.
