The Minimal Model Program, and Extension Theorems for Differential Forms

The Minimal Model Program (=MMP) aims to explain how
algebraic varieties are composed out of simpler pieces. The talk gives
a broad overview of the program and its applications. It surveys
recent progress in our understanding of holomorphic differential forms
on singular spaces, and explains the connection to the MMP.
Applications pertaining to classification and characterisation of
algebraic varieties will be mentioned in brief.