Yong-Geun Oh, IBS Geometry and Physics

Title: Contact instantons and contact dynamics

Abstract:  In this talk, we will first explain a dimensional reduction of pseudoholomorphic curves to contact manifolds, which we call `contact instantons'. Then we explain how we can apply the analytical machinery combining it with contact Hamiltonian geometry, to prove Shelukhin's conjecture on any closed contact manifold. The conjecture concerns some quantitatve aspect of contact topology and contact dynamics, and the proof also utilizes construction of contact product and its anti-contact involutive symmetry.