  Minimal representations of a real reductive group G are the "smallest"
irreducible unitary representations of G. The author suggests a program of
global analysis built on minimal representations from the philosophy: small
representation of a group = large symmetries in a representation space.
  This viewpoint serves as a driving force to interact algebraic representation
theory with geometric analysis of minimal representations, yielding a rapid
progress on the program.
  We give a brief guidance to recent works with emphasis on the Schroedinger
model.
