Singularity theory

Related lectures (32)

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Covers Laurent series, singularities, and meromorphic functions, addressing convergence, holomorphicity, and residue theorem applications.

Explores the dynamics of singular Riemann surface foliations and their intricate behavior.

Covers curves in space, including singularities, Frenet frame, and development curves.

Covers the setup of a Singularity container to run a Jupyter notebook, including SSH connections and software announcements.

Explores shell components in transcendental parameter planes and attracting cycles.

Covers the definition and properties of the Riemann Zeta function, including convergence and singularities.

Delves into mixing time changes in nilflows, emphasizing the delicate nature of mixing and its dependence on singularities.

Covers the analysis of complex functions, focusing on convergence and poles.

Explores Lagrange's optimization theorem, integration bounds transformation, and singularity removal.

Explores finite differences for solving linear systems from PDEs iteratively, emphasizing convergence criteria and exercises on singularities.