|TITLE||Birational Geometry and Birational Classification of Algebraic Threefolds|
Algebraic varieties are the main objects in the studies of algebraic geometry. It is thus natural to classify varieties into birational equivalence classes and to study the geometry in each equivalence classes. These leads to two challenges: birational classification theory and minimal model theory, which is the main tool in the study of birational geometry inside an equivalence class. |
In this talk, I will give a brief introduction to the theory of threefolds, including birational classification theory and theory of birational geometry. I will also provide some recent updates and introduce some open problems.