Proper Actions and Quotients

Related lectures (29)

Page 2 of 3

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

Explores the local structure of totally disconnected locally compact groups and their isomorphisms through conjugation.

Explores fundamental groups, homotopy classes, and coverings in connected manifolds.

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

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

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

Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.

Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.

Covers simplicial and cosimplicial objects in category theory with practical examples.

Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.