Riemann surface

Related lectures (30)

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Explores curves with Poritsky property, Birkhoff integrability, and Liouville nets in billiards.

Explains closed surfaces like spheres, cubes, and cones without covers, and their traversal and removal of edges.

Explores surfaces with variable curvature, discussing their construction and properties.

Covers linear pressure vessels, thin shells, and critical buckling pressure, emphasizing the dimensional reduction from 3D to 2D.

Covers modular curves as compact Riemann surfaces, explaining their topology, construction of holomorphic charts, and properties.

Explores surfaces with variable curvature, constant curvature, and gothic surfaces, as well as singularities and the inversion of normals.

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

Covers the basic properties of holomorphic maps and Taylor series expansions in complex analysis.

Covers the concept of bounding the Poisson bracket invariant on surfaces, exploring joint work with A. Logunov and S. Tanny.

Explores surfaces, curvature, ruled surfaces, and practical applications in geometry.