|Structure of algebraic groups|
|Instructor：||Michel Brion [Université de Grenoble I]|
|Place：||Conference Room 1, Floor 1, Jin Chun Yuan West Building|
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.
Basic knowledge of algebraic geometry, for example, the contents of Chapter I of Hartshorne's textbook.
Lectures on Chevalley's structure theorem and geometric applications, book available at http://www-fourier.ujf-grenoble.fr/~mbrion/recents.html