Thursday October 11th, 2018
Time: 4:00 PM - 5:00 PM
Title: Studying knots through the cotangent bundle and symplectic geometry
Speaker: Lenny Ng, Duke
Location: Math Tower P-131
An old idea of Arnol'd is to examine the topology of a smooth manifold through the symplectic geometry of its cotangent bundle, building on the familiar concept of phase space from classical mechanics. One particular application of this approach yields strong invariants of knots, with some unexpected relations to topological string theory. I'll discuss the current state of affairs regarding this approach to knot invariants through symplectic geometry.