We review the asymmetries in top quark pair production at the Tevatron and
the LHC. We summarize the experimental measurements and the interpretations of
a possible excess in terms of new physics. We also review other top quark
properties-emphasizing effects related to the ttˉ asymmetries-as well as
other collider signals.Comment: RevTeX 40 pages. Final version to be published in Reviews of Modern
Physics, with several addition