Lectures related to Carathéodory's theorem (conformal mapping)

Covers the theory and examples of conformal applications, focusing on the concept of conformal mappings and Moebius transformations.

Explores conformal transformations, including holomorphic functions and Moebius transformations.

Explains the Open Mapping Theorem for holomorphic maps between Riemann surfaces.

Explores holomorphic maps, ramification points, and the genus of a modular curve.

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