  Electromagnetism contains an infinite dimensional symmetry group of large
gauge transformations. This gives rise to an infinite number of conserved
quantities called "soft charges" via Noether's theorem. When charged particles
scatter, the conservation of soft charge constrains the overall amount of
radiation emitted per angle. Here we describe the physical consequences of soft
charge conservation and give fresh accounts of the roles of spacelike and
timelike infinity in these conservation laws. We conclude by exploring the
possibility of creating a dual boundary theory of electromagnetism.
