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Complex Geometry Seminar
Interior Hessian and gradient estimates for special Lagrangian curvature equation
Interior Hessian and gradient estimates for special Lagrangian curvature equation
组织者
演讲者
周星辰
时间
2025年12月09日 20:00 至 21:30
地点
Online
线上
Zoom 928 682 9093
(BIMSA)
摘要
The special Lagrangian equation originates in the study of calibrated geometry by Harvey and Lawson in 1982. It is "special" if the Lagrangian graph has a constant phase, which is equivalent to being volume-minimizing. The special Lagrangian equation is a local version of Leung-Yau-Zaslow (LYZ) (aka. deformed Hermitian-Yang-Mills (dHYM)) equation in mirror symmetry. The systematical study of such equation was initiated by Jacob and Yau in 2017.
In this talk, we will focus on the analysis of the special Lagrangian curvature equation. We will present some classical and non-classical approaches for deriving interior a priori estimates for this type of fully nonlinear elliptic equation. The talk is based on a recent work of Qiu and Zhou, and also the classical works of Warren and Yuan, Wang and Yuan.
In this talk, we will focus on the analysis of the special Lagrangian curvature equation. We will present some classical and non-classical approaches for deriving interior a priori estimates for this type of fully nonlinear elliptic equation. The talk is based on a recent work of Qiu and Zhou, and also the classical works of Warren and Yuan, Wang and Yuan.