The Arveson-Douglas Conjecture
The Arveson-Douglas Conjecture states that certain submodules and quotient modules of the Bergman/Hardy/Drury-Arveson module is essentially normal. The conjecture starts as an operator theoretic problem but recent research shows that it is deeply involved with complex geometry. In this talk, I will introduce this conjecture, its background and applications. I will also talk about several approaches and recent developments.