Program
Structure of algebraic groups
Student No.:50
Time:Mon/Wed 10:10-12:00
Instructor:Michel Brion  [Université de Grenoble I]
Place:Conference Room 1, Floor 1, Jin Chun Yuan West Building
Starting Date:2013-3-4
Ending Date:2013-3-27

Description:

The course will first present Chevalley's structure theorem asserting that every connected algebraic group over an algebraically closed field is an extension of an abelian variety by a connected linear algebraic group. Then further classical structure results will be exposed, as well as recent developments on anti-affine algebraic groups, and applications to problems of algebraic geometry. Some open questions will be discussed.

 

Prerequisite:

Basic knowledge of algebraic geometry, for example, the contents of Chapter I of Hartshorne's textbook.

 

Reference:

 

 

 

 

 

 

 

R. Hartshorne: Algebraic Geometry, Graduate Texts in Mathematics, Springer-Verlag, New York, 1977.
 
M. Brion, P. Samuel and V. Uma:

Lectures on Chevalley's structure theorem and geometric applications, book available at http://www-fourier.ujf-grenoble.fr/~mbrion/recents.html