Precision Cosmology at Small Scales (?)

Abstract: Future weak-lensing surveys will make it possible to push the realm of precision cosmology towards small, highly nonlinear cosmological scales. But are we (and more precisely the theorists) ready for this? I will give an overview on how to model nonlinear scales with a specific focus on baryonic feedback effects. I will discuss how we can include such effects without losing (too much of the) information on cosmology and how small scales can be used to probe physics beyond LCDM.