  The objective of this paper is to report on recent progress on Strichartz
estimates for the Schr\"odinger equation and to present the state-of-the-art.
These estimates have been obtained in Lebesgue spaces, Sobolev spaces and,
recently, in Wiener amalgam and modulation spaces. We present and compare the
different technicalities. Then, we illustrate applications to well-posedness.
