This Thursday, March 29, Dave Futer is speaking in the geometry-topology seminar at UPenn. The talk will be in DRL 4C8 at 4:30 PM.

Title: The Jones polynomial and surfaces far from fibers

Abstract: This talk explores relations between colored Jones polynomials and the topology of incompressible spanning surfaces in knot and link complements. Under mild diagrammatic hypotheses, we prove that the growth of the degree of the colored Jones polynomials is a boundary slope of an essential surface in the knot complement. We also show that certain coefficients of the Jones and colored Jones polynomials measure how far this surface is from being a fiber in the knot complement. This is joint work with Effie Kalfagianni and Jessica Purcell.