Topology Seminar

Speaker:  Katherine Walsh (University of Arizona) 

Abstract: The colored Jones polynomial assigns to each knot a sequence of Laurent polynomials.  This talk will start with a discussion on the patterns and stability in the coefficients of these polynomials.  While much work has been done looking at the leading sequence of coefficients, we will discuss work moving towards understanding the middle coefficients.  This will include small steps like looking at the second N coefficients of the Nth colored Jones polynomial and larger steps like looking at the growth rate of thecoefficients and looking the the patterns present in the coefficients under various re-normalizations. We will also touch on new work looking at related stability in different sequences.