Explore a 48-minute lecture by Thierry Bodineau on the convergence of a dilute gas to the fluctuating Boltzmann equation, presented at the International Mathematical Union. Delve into the study of fluctuations in the empirical measure around the Boltzmann equation solution, examining its convergence to a Gaussian process for short time periods. Discover how this convergence can be derived for extended durations when starting from the equilibrium measure. Gain insights into the low-density limit of Newtonian dynamics associated with hard sphere gases, building upon Lanford's seminal work. Access accompanying presentation slides for a comprehensive understanding of this advanced mathematical topic.