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Today, cosmological observations and theoretical arguments lead us to believe that new phenomenology, new particles, forces, or even a new space-time structure is waiting to be uncovered. Naturalness of the recently discovered Higgs boson suggests that new phenomena should appear at the TeV scale, and in most models these will be accompanied by modifications to the dynamics of the top quark.
In this talk, I will discuss the basic phenomenology of top quarks, the experimental challenges, and the state of the art for the main observables from ATLAS and CDF. I will also present in some detail five key measurements that will be performed with the LHC Run II data by 2020.