Local Homeomorphisms and Coverings

Related lectures (31)

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Explores the construction of Riemann surfaces from equilateral triangles and the dynamics of finite-type maps.

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

Explores harmonic forms on Riemann surfaces, covering uniqueness of solutions and the Riemann bilinear identity.

Covers the normalization process of plane algebraic curves, focusing on irreducible polynomials and affine curves.

Explores mapping functions, surjections, injective and surjective functions, and bijective functions.

Explores geodesics in the Wasserstein space, emphasizing constant speed geodesics and their properties.

Covers the concept of graph sketching with a focus on connected components.

Covers manifolds, topology, smooth maps, and tangent vectors in detail.

Explores the homology of Riemann surfaces, including singular homology and the standard n-simplex.

Delves into the rigidity of negatively curved manifolds and the interplay between curvature and symmetry.