Hello everyone,

Today at 3:30 we have Will Worden speaking in seminar. The talk details are below.

Title: Small knots of large Heegaard genus 

Speaker: Will Worden, Rice University 

Date: Sep 10, 2019 Time: 3:30 PM 

Room: MSCS 509

 Abstract: Building off ideas developed by Agol, we construct a family of hyperbolic knots Kn whose complements contain no closed incompressible surfaces (i.e., they are small) and have Heegaard genus exactly $n$. These are the first known examples of small knots having large Heegaard genus. In the first part of the talk we will describe a beautiful construction due to Agol for building hyperbolic 3-manifolds that decompose into a union of regular ideal octahedra. Using this technology, we will then show how to build the knots Kn, and outline the proof showing that they have the desired properties