Christopher Smyth (University of Edinburgh)
Spectral structures arising from integer polynomials abstract
Abstract:
In 1979 David Boyd conjectured that the set of Mahlermeasures of polynomials with integer coefficients forms a closed subset of thereal line.In the first part of the talk I’ll outline the origins and basicfacts about Mahler measure, as well as formulae for specific measures, and themotivation behind Boyd’s conjecture. I’ll then discuss a recent stronger conjecture than Boyd’s,which relates the set of these Mahler measures to other spectral sets of knownstructure, also coming from integer polynomials.(30 minutes general talk, followed by 45minutes of more specialized talk)
14:15 • EPF Lausanne, CM 1 517