Speaker: Professor Jung-Kai Chen (陳榮凱) (臺大數學系)
Title: An introduction to birational geometry
Abstract:
An introduction to birational geometry
Abstract: The major goals of birational geometry of algebraic
varieties are to find a good model inside a birational equivalent
class and to study the geometry of such models.
Algebraic varieties are roughly classified by their Kodaira
dimensions. By looking at Iitaka fibrations, the problem is usually
reduced to the following three categories of varieties: varieties of
Kodaira dimension minus infinite, varieties of Kodaira dimension zero,
and varieties of general type.
In this talk, we will briefly sketch the minimal model program which
allows us to find a good birational model and the geometry of the
above three categories of varieties.
Time:14:30~15:30, Apr. 12(Mon.), 2010
Place:Room 101, New Mathematics Building, National Taiwan University(臺灣大學新數館101室)