几何分析讨论班——On the existence of geodesic connecting Lagrangian graphs in $ mathbb{C}^n$
主 题: 几何分析讨论班——On the existence of geodesic connecting Lagrangian graphs in $ mathbb{C}^n$
报告人: 许奕彦 (南京大学)
时 间: 2016-12-13 10：10-12：00
地 点: 理科1号楼1418
Analogue to the study Einstein-Hermitian metrics on holomorphic vector bundles and K\"{a}hler Einstein metrics on Fano manifolds, Solomon designed a possible program concerning the existence and uniqueness of special Lagrangian submanifolds in Calabi-Yau manifolds. To carry out the program, it is desirable to develop a satisfactory existence theory for geodesics on the space of Lagrangian submanifolds. We will focus on the class of Lagrangian graph in $\mathbb{C}^n$ with large Lagrangian phase that allow us to construct weak geodesic via elliptic PDE techniques.
