CP violation in beauty and charm decays at LHCb

An overview of selected results on CP violation in beauty and charm decays at LHCb is presented. The first observation of $D^0 – \bar{D}^0$ mixing in $D^0 → K^+ π^− π^+ π^−$ decays is shown. A measurement of direct $CP$ violation in $D^0 → K^+ K^−$ and $D^0 → π^+ π^−$ decays is shown. Several results which constrain the $CKM$ angle γ are shown and a new combination of LHCb results on γ is presented which leads to the worlds most precise single experiment measurement of γ =$(70.9^{+7.1}_{−8.5})◦$