ncku-talk2016-10-12

Colloquium

DATE 2016-10-12　15:10-16:00

PLACE 數學館3174教室

SPEAKER 陳榮凱教授（台灣大學數學系）

TITLE Birational Geometry and Birational Classification of Algebraic Threefolds

ABSTRACT 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.

Colloquium

DATE	2016-10-12　15:10-16:00

PLACE	數學館3174教室

SPEAKER	陳榮凱教授（台灣大學數學系）

TITLE	Birational Geometry and Birational Classification of Algebraic Threefolds

ABSTRACT	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.