Metabelian SL(n,C) representations of knot groups
Hans Boden (MPI Bonn/ McMaster)
Monday 23rd April, 2012 15:00-16:00 416
This talk will focus on applications of group representation theory in low-dimensional topology. We will focus attention on metabelian representations into SL(n,C), and we report on joint work with S. Friedl on the classification problem of such representations (up to conjugacy) and on the problem of constructing deformations within the larger space of all SL(n,C) representations. We use this approach to establish the existence of large families of irreducible SL(n,C) representations under certain mild conditions on the knot which are easily expressed in terms of its Alexander polynomial.