Functor represented by a scheme

Related lectures (32)

Page 2 of 4

Introduces left and right derived functors in homotopical algebra, emphasizing their uniqueness and providing an illustrative example.

Covers the theory of categories, emphasizing the importance of naturalness in the composition of transformations.

Explores the restriction functor in group theory, focusing on its properties.

Explores the Hom functor for abelian groups and its relation to direct sums.

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

Explores Lie groups, scalar fields, and vector spaces transformations.

Covers limits, colimits, standard simplices, mapping spaces, boundaries, horns, and spines.

Explains the construction of the homotopy category of a model category using cofibrant and fibrant replacement.

Covers the concept of sheaves, emphasizing the unique determination of functions by local data and the importance of direct limits.

Explores the dynamics of a block pulled by a spring under various conditions.