Enero-2018

Knots, polynomials and SL_2(C)

Julien Marché (Pierre et Marie Curie, Paris VI)

Viernes, 12 de enero, Depto. Matemáticas, Aula 520, 12:00h.

Abstract

To any knot in R^3 one can associate a 2-variable polynomial, related to representations of the fundamental group of the complement into SL_2(C). I will motivate this construction and consider the Mahler measure of this polynomial (the logarithmic average on the torus) which happens to be computable only in this case, as discovered by number theorists.