Yen-An Chen, Toric Fano Foliations

In recent years, there are significant developments of the minimal model program for foliated varieties. It is intriguing to ask if Fano foliations form a bounded family. It is anticipated that Borisov-Alexeev-Borisov conjecture also holds in the context of foliations. In this talk, I will discuss the boundedness of the toric Fano adjoint foliated structure with mild singularities. This is a joint work in progress with Chih-Wei Chang.