The J-equation and the deformed Hermitian-Yang-Mills equation

讲座时间 Datetime: 2022年7月15日，星期五，15:00-16:30

地点 Venue: 腾讯线上会议：727-268-584

主持人 Host：邵国宽

报告人 Speaker: 陈杲

单位 Affiliation: 中国科技大学

报告摘要 Abstract:

The deformed Hermitian-Yang-Mills (dHYM) equation is the mirror equation for the special Lagrangian equation. The "small radius limit" of the dHYM equation is the J-equation, which is closely related to the constant scalar curvature K\"ahler (cscK) metrics. In this talk, I will explain my recent result that the solvability of the J-equation is equivalent to a notion of stability. I will also explain my similar result on the supercritical dHYM equation.