10-27【Oh Yong Geun】Contact instantons and entanglement of Legendrian links

Time:2022-10-11Views:31

Speaker:  Oh Yong Geun(IBS & POSTECH)

Time: 09:00-10:00, Oct 27, 2022

Room: Tencent Meeting: 457-690-920no password &  C1124, Material Science Research Building(Section C)



  

In this lecture, we first introduce a new analytical package of contact instantons to the study of contact topology and contact dynamics via the entanglement structure of Legendrian links. As an application, we explain a general existence scheme of Reeb chords between any pair $(\psi(R), R))$ of compact Legendrian submanifold $R$ and contactomorphism $\psi$ isotopic to the identity. As a corollary we give the proof of Shelukhin's conjecture via the geometric operation of Legendrianization of contactomorphisms.