Lectures related to Kähler differential

Discusses kinematic quantities and linear mass density in examples of metal wires.

Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.

Introduces Hodge duality, covariant derivatives, and key concepts in differential geometry.

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Introduces the concept of differential forms and their applications in n-dimensional manifolds, including the Levi-Civita tensor and volume form.

Covers the basics of Homological algebra, focusing on Ext modules and their significance in modern mathematics.

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.