报告时间：5月16日周五下午13:30-14:30
报告地点：数学楼401报告厅
报告人： 胡京辰
主持人：张德凯
报告人简介：胡京辰，四川大学数学学院副教授，2018年获中国科学技术大学博士学位，主要研究退化椭圆型偏微分方程。相关论文发表在《Int. Math. Res. Not.》《J. Funct. Anal.》《SIAM J. Math. Anal.》《Calc. Var. Partial Differential Equations》《J. Geom. Anal.》等期刊上。
报告摘要：The complex Monge-Ampère equation plays a central role in complex geometry and complex analysis. However, many key estimates and longstanding conjectures remain unresolved, in contrast to the real Monge-Ampère equation, for which analogous results were established much earlier. In our research, we construct new auxiliary functions that significantly simplify the computation involved in these problems and we are able to establish several new results regrading convexity.