Holomorphic disks with boundary on compact Lagrangian surface

Let L be a compact oriented Lagrangian surface in a Kahler surface with a complete metric with bounded sectional curvature and positive injectivity radius lower bound. We show that for each closed curve c in L which is not contractible in L but bounds a disk in M there is a holomorphic disk in M with boundary in L representing the homotopy class c. 陈竞一，英属哥伦比亚大学教授，本科毕业于北京大学数学系，在 Stanford University 数学系获得博士学位。曾经在 University of California at Irvine, Northwestern University, MIT 工作; 在 Stanford University, Princeton University, Brown University作为访问教授。主要从事几何分析，微分几何、微分方程领域的研究。在Invent. Math., Duke Math. J., GAFA, CPAM, Crelle’s J. JDG等国际著名期刊上发表论文四十多篇。曾经获得加拿大数学会 Coxter-James 奖、Andre Aisenstadt 奖以及美国的 Sloan Fellowship、Simons Fellow (in Math) 等。