  This review is dedicated to some modern applications of the remarkable paper
written in 1918 by E. Noether. On a single paper, Noether discovered the
crucial relation between symmetries and conserved charges as well as the impact
of gauge symmetries on the equations of motion. Almost a century has gone since
the publication of this work and its applications have permeated modern
physics. Our focus will be on some examples that have appeared recently in the
literature. This review is aim at students, not researchers. The main three
topics discussed are (i) global symmetries and conserved charges (ii) local
symmetries and gauge structure of a theory (iii) boundary conditions and
algebra of asymptotic symmetries. All three topics are discussed through
examples.
