  This paper is a synopsis of the recent book A. Boritchev, S. Kuksin,
\textit{One-Dimensional Turbulence and the Stochastic Burgers Equation}, AMS
Publications, 2021 (to appear). The book is dedicated to the stochastic Burgers
equation as a model for 1d turbulence, and the paper discusses its content in
relation to the Kolmogorov theory of turbulence.
