`Meson spectroscopy and scattering in lattice QCD'

A vital ingredient in understanding and testing QCD, the theory of the
strong interaction, is a first-principles calculation of the spectrum of
hadrons and comparison against experimental data.  Lattice QCD provides
an ab-initio method for performing such non-perturbative calculations
and I will report on recent progress in using lattice QCD to calculate
excited meson spectra and scattering phase shifts.  I will present a
recent calculation of light isoscalar mesons where by using novel
techniques we have extracted an extensive spectrum, including states
with exotic quantum numbers and non-exotic hybrids, with high
statistical precision.  I will then discuss work on using lattice QCD to
map out the energy-dependent phase shift in pi-pi scattering and future
applications of the methodology to the study of resonances and decays.