  We review recent progress and a number of future directions for applications
of effective field theory methods to condensed matter systems broadly defined.
Our emphasis is on areas that have allowed a fertile exchange of ideas between
high energy physics and many-body theory. We discuss developments in the
effective field theory of spontaneous symmetry breaking, of hydrodynamics and
non-equilibrium dynamics more generally, fracton phases of matter, and
dualities between 2+1 dimensional field theories. We furthermore discuss the
application of effective field theory to non-Fermi liquids, the dynamics of
entanglement entropy and to condensed matter aspects of cosmology.
