V.G. Serbo ``Strong-field effects for lepton and photon production in AA collisions at RHIC and LHC'' In collisions of relativistic nuclei of gold (the RHIC collider) or lead (the LHC collider) electric and magnetic fields may exceed by several orders of magnitude the critical Schwinger field, but these fields act during a very short time. In such conditions one can use perturbation theory, but the corresponding parameter $Z\alpha\approx 0.6$ is not small. It means that the whole series in $Z\alpha$ has to be summed to obtain the cross section with sufficient accuracy. In this small review I present our recent activity related to electromagnetic processes at the RHIC and LHC colliders. It includes such topics as: 1. Introduction 2. Strong-field (SF) effects in the $e^+e^-$ pair production 3. SF effects in the $\mu^+\mu^-$ pair production 4. SF effects for the ordinary nuclear bremsstrahlung 5. Large contribution of the virtual Delbr\"uck scattering into nuclear bremsstrahlung. This report is based mainly on our recent papers: Ginzburg, Jentschura, Serbo. Phys. Lett. B {\bf 658}, 125 (2008);\\ Ginzburg, Jentschura, Serbo. Eur. Phys. J. C {\bf 54}, 267 (2008);\\ Jentschura, Hencken, Serbo. Eur. Phys. J. C {\bf 58}, 281 (2008)\\ and some yet unpublished new results.