Jun Lu
Title: Foliations with Kodaira dimension one and some applications on fibrations.
Abstracts: A foliation is a global section of the differential sheaf tensorring a line bundle. It can also be regarded as a differential equation. For example, a fibration on a surface gives a foliation with a meromorphic first integral. One can classify all foliations by so-called Kodaira dimension. In this talk, we will investigate the foliations with Kodaira dimension one (e.g., Riccati foliations). In this case, there is an adjoint fibration. We will describe precisely all singular fibers of the adjoint fibration. As an application, we will study the fibrations induced by foliations with Kodaira dimension one. In a joint work with C.Gong and S.-L. Tan, we will prove that a Belyi fibration with two singular over $P^1$ gives a Riccati foliation.