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
______________________
Neil R. Hoffman Assistant Professor Department of Mathematics 523 Math Science Building Oklahoma State University Stillwater, OK 74078-1058 405-744-7791 http://math.okstate.edu/people/nhoffman