北京雁栖湖应用数学研究院

马修·伯菲特 , Tyrone Cutler , 李京艳 , 吴杰 , 周嘉伟

高鸿灏

2023年12月04日 14:30 至 16:00

A3-4-101

Zoom 230 432 7880 (BIMSA)

In the marriage of low dimensional topology and symplectic topology, there lives Legendrians knots and their exact Lagrangian fillings. Legendrian knots are smooth knots satisfying some tangency conditions, such that their projection diagrams have certain cusps. The Lagrangian fillings are filling surfaces of knots in the 4-dimensional ball, again satisfying some extra conditions. Legendrian knots and Lagrangian fillings are useful objects to understand 3-dimensional contact topology and 4-dimensional symplectic topology. In this talk, I will discuss some work with Roger Casals on the construction of exact Lagrangian fillings.

高鸿灏博士，本科毕业于香港科技大学，博士毕业于美国西北大学，师从Eric Zaslow 教授。先后于法国傅立叶研究所和美国密歇根州立大学单位博士后工作。现为清华大学丘成桐数学科学中心和北京雁栖湖应用数学研究院助理教授。高鸿灏的主要研究方向为辛几何于切触几何，在恰当拉格朗日填充的研究上有突出工作。论文发表在Annals of Mathematics，InventionesMathematicae 等期刊。