Explore nonequilibrium thermodynamics through the lens of symplecto-contact reduction and relative information entropy in this 53-minute lecture by Y. G Oh from IBS and Postech. Delve into the mathematical foundations and physical implications of this advanced topic in statistical mechanics, gaining insights into the interplay between geometry, information theory, and thermodynamics. Examine how these concepts contribute to our understanding of systems far from equilibrium and their evolution over time.