  In this survey, we present several results related to characterizing the
surjective isometries on Banach sequence spaces. Our survey includes full
proofs of these characterizations for the classical spaces as well as more
recent results for combinatorial Banach spaces and Tsirelson-type spaces. Along
the way, we pose many open problems related to the structure of the group of
surjective isometries and characterizations of the group of surjective
isometries for various Banach spaces.
