Basic concepts of Kahler geometry, such as the Kahler and Ricci forms, positivity/negativity in cohomology, Kahler-Einstein metrics, and proofs of some fundamental results, including the d-d-bar lemma, Calabi's uniqueness theorems, Matsushima's reductivity theorem for Kahler-Einstein manifolds, and Futaki's isomorphism theorem.
Prereq: 6701 and 6221. Not open to students with credit for 7721.02.