Smooth scheme

Related lectures (31)

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Covers the Laplace equation, decomposition of linear problems, and solutions through separation of variables.

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

Explores smooth functions on manifolds, emphasizing continuity and atlas topologies.

Discusses advanced optimization techniques, focusing on faster and projected gradient descent methods in machine learning.

Explores the definition of connections for smooth vector fields on manifolds.

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

Covers smooth maps on manifolds, defining functions, tangent spaces, and differentials.

Explores integration theory over real numbers and Berkovich spaces, revealing intriguing asymmetries and unsolved conjectures.

Explores the regularity of curves over a field and the importance of specific properties for curve regularity.

Explores regularity in algebraic geometry and the geometric implications of the Jacobian criterion.