题目: Calabi's program, Chen's conjecture and regularity of constant scalar curvature Kahler metric
摘要: We briefly recall Calabi's program on existence of constant scalar curvature metric. In particular we go over Chen's conjecture on the regularity of minimizer of K-energy. Together with Yu Zeng, we introduce a notion of weak solution of constant scalar curvature and prove that such a weak solution with L-infinity Kahler metric is smooth. This partly confirms Chen's conjecture.