ICTS

Many striking results about the group of automorphisms of affine varieties have been proved in recent years. Similarly, several exciting open problems have been raised which are very good topics for young researchers.

The aim of this program is to bring together several experts in different aspects of the area of automorphism groups of affine varieties, viz. Locally Nilpotent Derivations, Rings of Invariants of finite and continuous Reductive Group Actions on Cⁿ, Theory of Non-complete Algebraic Varieties, Applications of Brauer Groups, etc. We plan to have about five expository lectures each on these topics.

The plan is to bring together senior mathematicians and students from India and around the world. The expository talks will inform the participants about different ways of attacking problems about automorphism groups of affine varieties, in particular affine space. Similarly, several open problems will be mentioned. There will be four expository talks every day for about five days. In the second part of the program there will be a small research level discussion meeting to bring the participants up-to-date with current research in this area.