ColloquiumThursday 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 |

Abstract: | |

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. |