CP violation and mixing in charm with LHCb

Measurements of charge-parity ($CP$) violation and mixing in charm provide a sensitive test of the Standard Model and can potentially probe physics beyond the Standard Model. The LHCb experiment has provided the most precise measurements in this scope to date. This year has brought two milestones in charm physics: the first observation of $CP$ violation in charm decays and the first evidence of a non-zero mass difference between the neutral charm eigenstates. These results are both included in this contribution together with searches for direct $CP$ violation in quasi two-body decays. Despite the recent discoveries, the theoretical framework is still not clear and more precise measurements, expected with the coming upgrade of detector, are required.