Singularities and the Complex Plateau Problem
报 告 人:: 杜荣
报告地点:: 数学与统计学院317室
报告时间:: 2018年01月26日星期五15:30-16:30

We will relate the complex Plateau problem to some new numerical invariant of isolated singularities and Shokurov’s minimal discrepancy conjecture. As a result, we will show that this invariant is strictly positive for every isolated 3 dimensional canonical Gorenstein singularity and higher dimensional local complete intersection singularity. In particular, the vanishing of this invariant gives the interior regularity of the Harvey-Lawson solution to the complex Plateau problem.

发 布 人:科研助理 发布时间: 2018-01-25
杜荣,华东师范大学教授,研究方向是代数几何,复几何。曾在J. Differential Geom.,Geom. Dedicata,Math. Z.,Comm. Anal. Geom., Pacific J. Math.等著名期刊上发表论文多篇。主持国家自然科学基金2项。