Explore the fundamental concepts of plasma collisions through an in-depth lecture on the Landau equation. Delivered by L. Desvillettes from Université Paris Diderot, this hour-long talk is part of the Advanced School & Workshop on Nonlocal Partial Differential Equations and Applications to Geometry, Physics and Probability. Delve into the intricacies of plasma physics, focusing on the mathematical framework provided by the Landau equation. Gain insights into how this equation models collisions in plasma systems and its significance in understanding plasma behavior. Suitable for advanced students and researchers in physics, mathematics, and related fields, this lecture offers a rigorous examination of a crucial topic in plasma dynamics.