$CP$ violation and mixing in charm decays at LHCb

The size of $CP$ violation allowed for by the Standard Model is orders of magnitude too small to explain our matter-dominated universe. Processes from physics beyond the Standard Model could enhance this violation and explain the observed asymmetry between matter and antimatter.The charm sector is a relevant probe to search for New Physics processes and is complementary to other searches in the kaon and $B$ systems. $CP$ violation has recently been observed for the first time in charm decays by the LHCb collaboration. However, more work needs to be performed in order to understand the full picture.These proceedings cover six recent analyses from LHCb that explore mixing and $CP$ violation in charm decays and contribute to a better understanding of this sector.