Kähler Differentials

This lecture covers the concept of Kähler differentials, starting with the definition and properties such as linearity and Leibniz rule. It explores the construction of Kähler differentials and their relation to B-linearity. The lecture delves into the construction of linear combinations and the existence of B-linearity. It also discusses the construction of symbols and quotient relations, emphasizing the importance of B-linearity. The instructor explains the process of constructing linear combinations and the significance of B-linearity in various contexts, leading to the understanding of Kähler differentials in algebraic geometry.