Канал: Manifolds in Maryland

Scott Wolpert on not hearing the shape of the drum

Scott Wolpert on not hearing the shape of the drum

Scott Wolpert's advice to young geometers

Scott Wolpert's advice to young geometers

Beneath the Surface - interview with Scott Wolpert

Beneath the Surface - interview with Scott Wolpert

Visualizing Conic Sections Using Blender and Desmos

Visualizing Conic Sections Using Blender and Desmos

Rotations in 3D Graphics With Quaternions

Rotations in 3D Graphics With Quaternions

Geometry With Compass and Straightedge

Geometry With Compass and Straightedge

Using Voronoi Diagrams In Computer Graphics

Using Voronoi Diagrams In Computer Graphics

Normal Vectors and Their Applications in Computer Graphics

Normal Vectors and Their Applications in Computer Graphics

Euler's formula and spherical geometry

Euler's formula and spherical geometry

The Bergman kernel of the polydisk and the ball

The Bergman kernel of the polydisk and the ball

What is the Bergman kernel?

What is the Bergman kernel?

The Cartan-Hadamard theorem

The Cartan-Hadamard theorem

The Hopf-Rinow Theorem

The Hopf-Rinow Theorem

Lie derivatives of differential forms

Lie derivatives of differential forms

Poincare recurrence

Poincare recurrence

Liouville's Theorem through Symplectic Geometry

Liouville's Theorem through Symplectic Geometry

What is the tangent bundle?

What is the tangent bundle?

Duality in Optimal Transport

Duality in Optimal Transport

Optimal Transport (According to Leonid Kantorovich)

Optimal Transport (According to Leonid Kantorovich)

Optimal Transport (according to Gaspard Monge)

Optimal Transport (according to Gaspard Monge)

Curvature of a surface, only using calculus

Curvature of a surface, only using calculus

What is a manifold?

What is a manifold?

Domains of holomorphy and Dolbeault cohomology

Domains of holomorphy and Dolbeault cohomology

The Cartan-Thullen theorem

The Cartan-Thullen theorem

What are domains of holomorphy?

What are domains of holomorphy?

Analytic continuation in higher dimensions

Analytic continuation in higher dimensions

The Cobordism Exhibition

The Cobordism Exhibition

The Nakano vanishing theorem for positive line bundles

The Nakano vanishing theorem for positive line bundles

What is the Chern connection?

What is the Chern connection?

An exactness theorem in Hilbert spaces: the Hormander technique

An exactness theorem in Hilbert spaces: the Hormander technique

Unbounded operators between Hilbert spaces, Von Neumann's theorem on the adjoint

Unbounded operators between Hilbert spaces, Von Neumann's theorem on the adjoint

The Kodaira embedding theorem

The Kodaira embedding theorem

Positive line bundles

Positive line bundles

Kahler-Einstein metrics

Kahler-Einstein metrics

Hodge theory on Kahler manifolds

Hodge theory on Kahler manifolds

What is Hodge theory?

What is Hodge theory?