Abstract: Given two projective varieties X and Y, we say that they are
bimeromorphic to each other if they have isomorphic non-empty Zariski open
subsets, or equivalently, their function fields are isomorphic as
k-algebras, where k is the ground field of the varieties X and Y. This
defines an equivalence relation (in the varieties of fixed dimension). The
Minimal Model Program (MMP) or Mori Program is a tool which aims to find a
`good’ and `minimal’ representative in each of these equivalence classes.
In this talk I will present some new results in Kähler MMP for
4-dimensional Kähler varieties. This is a joint work with Christopher
Hacon and Mihai Paun.
