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Manifolds in Maryland @UCUXEyPwb-ERzCagDIiP_VBA@youtube.com

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Exploring the fascinating world of geometry. Kickstarted b


02:39
Scott Wolpert on not hearing the shape of the drum
00:58
Scott Wolpert's advice to young geometers
17:30
Beneath the Surface - interview with Scott Wolpert
17:05
Visualizing Conic Sections Using Blender and Desmos
08:23
Rotations in 3D Graphics With Quaternions
24:35
Geometry With Compass and Straightedge
11:11
Using Voronoi Diagrams In Computer Graphics
12:36
Normal Vectors and Their Applications in Computer Graphics
20:09
Euler's formula and spherical geometry
08:25
The Bergman kernel of the polydisk and the ball
17:18
What is the Bergman kernel?
11:40
The Cartan-Hadamard theorem
17:44
The Hopf-Rinow Theorem
19:52
Lie derivatives of differential forms
13:08
Poincare recurrence
13:37
Liouville's Theorem through Symplectic Geometry
11:54
What is the tangent bundle?
11:05
Duality in Optimal Transport
14:20
Optimal Transport (According to Leonid Kantorovich)
18:00
Optimal Transport (according to Gaspard Monge)
14:55
Curvature of a surface, only using calculus
10:31
What is a manifold?
21:25
Domains of holomorphy and Dolbeault cohomology
22:44
The Cartan-Thullen theorem
20:44
What are domains of holomorphy?
29:12
Analytic continuation in higher dimensions
22:34
The Cobordism Exhibition
19:49
The Nakano vanishing theorem for positive line bundles
26:45
What is the Chern connection?
28:31
An exactness theorem in Hilbert spaces: the Hormander technique
26:09
Unbounded operators between Hilbert spaces, Von Neumann's theorem on the adjoint
20:21
The Kodaira embedding theorem
17:39
Positive line bundles
14:13
Kahler-Einstein metrics
24:54
Hodge theory on Kahler manifolds
25:56
What is Hodge theory?