constructing and obstructing exact Lagrangian fillings
报告题目(Title)：constructing and obstructing exact Lagrangian fillings
报告人(Speaker)：高鸿灏，美国密歇根州立大学
地点(Place)：腾讯会议: 308 562 484
时间(Time)：2021年9月10日上午10:00-11:00
邀请人(Inviter)：卢广存, 龚文敏
报告摘要
A standard contact 3-fold is the Euclidean space equipped with the one-form dz-ydx. There, a Legendrian knot is an embedding circle where the one form vanishes. Legendrian knots and their exact Lagrangian fillings are important geometric objects to study in low-dimensional contact and symplectic topology. The main tools to access these geometric objects are invariants that arise from algebra, which come from Floer theory or sheaf theory. We shall give a brief review of these invariants, and present some applications in constructing and obstructing exact Lagrangian fillings for Legendrian knots.
主讲人简介
高鸿灏，美国密歇根州立大学数学系访问助理教授。2017年获美国西北大学博士学位，曾在法国傅立叶研究所任博士后。高鸿灏博士的研究领域是切触拓扑和辛拓扑。
