报告题目:Harmonic map flow with low d-bar energy
报告人:宋翀 副教授
报告人单位:厦门大学
报告时间:2019年11月4日,下午14:00-15:00
报告地点:九龙湖数学学院第二报告厅
报告摘要:
We show that for an initial map with low d-bar energy, the harmonic map heat flow from a surface into a Khaler manifold, though still may blow-up in finite time, has a continuous weak limit at the blow-up time. In particular, we obtain a bound on its blow-up rate and a decay estimate near finite time singularities, which is analogous to the elliptic case. This is a joint work with Alex Waldron.
报告人介绍:
宋翀,博士毕业于中国科学院数学与系统科学研究院,曾于北京大学数学科学学院从事博士后研究,现任厦门大学副教授。他的主要研究领域为几何分析,特别是几何物理中的偏微分方程,在Math. Ann.,JFA,Ann. I. H. Poincare等国际著名期刊上发表多篇学术论文。