BIMSA > BIMSA Topology Seminar Building Lagrangian fillings
Building Lagrangian fillings
Organizers
Matthew Burfitt , Tyrone Cutler , Jing Yan Li , Jie Wu , Jia Wei Zhou
Speaker
Hong Hao Gao
Time
Monday, December 4, 2023 2:30 PM - 4:00 PM
Venue
A3-4-101
Online
Zoom 230 432 7880 (BIMSA)
Abstract
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.
Speaker Intro
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。