The time evolution of the entanglement entropy is a key concept to understand the structure of a nonequilibrium quantum state. In a large class of models, such evolution can be understood in terms of a semiclassical picture of moving quasiparticles spreading the entanglement throughout the system. However, it is not yet known how the entanglement splits between the sectors of an internal local symmetry of a quantum many-body system. Here, guided by the examples of conformal field theories and free-fermion chains, we show that the quasiparticle picture can be adapted to this goal, leading to a general conjecture for the charged entropies whose Fourier transform gives the desired symmetry-resolved entanglement Sn(q). We point out two physically relevant effects that should be easily observed in atomic experiments: a delay time for the onset of Sn(q) which grows linearly with |Δq| (the difference between the charge q and its mean value) and an effective equipartition when |Δq| is much smaller than the subsystem size.
