凯时kb88.com

您现在所在的位置:凯时kb88.com >> 通知公告 & 学术信息
科学研究
RESEARCH
Infinitely many Lagrangian fillings
时间  Datetime
2019-07-11 09:00 — 10:00
地点  Venue
Zoom APP()
报告人  Speaker
Honghao Gao
单位  Affiliation
Michigan State University
邀请人  Host
李友林
备注  remarks
会议号: 686 346 75760 会议密码: 804069
报告摘要  Abstract

凯时kb88.comA filling is an oriented surface bounding a link. Lagrangian fillings can be constructed via local moves in finite steps, but it was unknown whether a Legendrian link could admit infinitely many Lagrangian fillings. In this talk, I will show that Legendrian torus links other than (2,m), (3,3), (3,4), (3,5) indeed have infinitely many fillings. These fillings are constructed using Legendrian loops, and proven to be distinct using the microlocal theory of sheaves and the theory of cluster algebras. This is a joint work with Roger Casals.