EVENT DETAILS AND ABSTRACT

Title: Augmentations and sheaves for knot conormals
Speaker: Honghao Gao
Speaker Info: Institut Fourier
Brief Description: Main talk [Note the unusual time.]
Special Note: Note the unusual time.
Abstract:

Knot invariants can be defined using Legendrian isotopy invariants of the knot conormal. There are two types of invariants raised in this way: one is the knot contact differential graded algebra together with augmentations associated to this dga, and the other one is the category of simple sheaves microsupported along the knot conormal. The SFT and Nadler-Zaslow correspondence suggest a connection between the two types of invariants. In this talk, I will manifest an explicit bijection between augmentations and simple sheaves for knot conormals.