Speaker: Oh Yong Geun(IBS & POSTECH)
Time: 09:00-10:00, Oct 27, 2022
Room: Tencent Meeting: 457-690-920, no 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.