This lecture by the instructor covers the concept of quenched linear response for random hyperbolic dynamics. It discusses the main theorem, Anosov diffeomorphisms, random composition of maps, regularity assumptions, explicit examples, and abstract quenched statistical stability. The lecture also explores the definition of Gouëzel-Liverani spaces, properties of BP,9, annealed response, and the regularity of the variance in the Central Limit Theorem.