Quantum entanglement and its main quantitative measures, the entanglement entropy and negativity, are playing a central role in many body systems. They not only quantify to which extent these systems can be used as a resource for quantum information processing, but also teach us on the physics of the systems themselves (e.g., quantum criticality). An interesting twist arises when the system considered has symmetries leading to conserved quantities: A recent study introduced a way to define, represent in field theory, calculate for 1+1D conformal systems, and measure, the contribution of individual charge sectors to the entanglement measures between different parts of a system in its ground state. In my research, I apply these methods for studying the time evolution of the symmetry-resolved contributions to the entanglement entropy and negativity after a local quantum quench. I calculate them both numerically, using TEBD simulations on various 1D lattice models, as well as analytically for 1+1D conformal field theory description, and find good agreement.