Before leaving Kyoto to go back to Montréal (and enjoy some summer break), I uploaded some lecture notes, on Optimal Transport for Actuarial Science, on HAL (soon on ArXiv). These lecture notes introduce optimal transport as a mathematical language for actuarial science. They treat losses, premiums, scores, reserves, capital scenarios, climate losses and lifetime distributions as probability measures that can be compared, transported, averaged, stressed and interpolated. The first part develops the main tools: couplings, push-forwards, discrete and continuous Kantorovich problems, duality, …