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Concept

Singularity theory

Related lectures (32)

Laplace Transform: Analytic Continuation

Covers the Laplace transform, its properties, and the concept of analytic continuation.

Quantum Field Theory: Lecture 3

Covers the concept of party wavefunctions and the reduction formulae.

Dynamics of Singular Riemann Surface Foliations

Explores the dynamics of singular Riemann surface foliations on compact Kähler manifolds.

Dynamics of Singular Riemann Surface Foliations

Explores the dynamics of singular Riemann surface foliations, focusing on vector fields, linear parts, and coordinate changes.

Dynamics of Singular Riemann Surface Foliations

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

Singularity Container Setup for Jupyter Notebook

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

Shell Components in Meromorphic Parameter Spaces

Explores shell components in transcendental parameter planes and attracting cycles.

Mixing Time Changes of Nilflows

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

Optimization Theorem: Lagrange and Integrals

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

Thermodynamic Formalism for Dispersing Billiards

Explores the geometry and statistical properties of dispersing billiards, aiming to extend the analysis to equilibrium states and covering topics like hyperbolicity and distortion control.

Concavity and Convexity: Analysis of Functions

Explores concavity, convexity, critical points, and singularities in functions.

Bessel Equation: First Frobenius Series Solution around x=0

Explores the Bessel equation solution method and the gamma function properties.

Unclosed Curves Integrals Log in to Mediaspace to watch this video

Covers the calculation of integrals over unclosed curves, focusing on essential singularities and residue calculation.

Spatial Curves: Intersections and Singularities Log in to Mediaspace to watch this video

Explores spatial curves, focusing on intersections and singularities in architectural contexts.

Essential Singularity and Residue Calculation Log in to Mediaspace to watch this video

Explores essential singularities and residue calculation in complex analysis, emphasizing the significance of specific coefficients and the validity of integrals.

Laurent Series: Singularities and Convergence Log in to Mediaspace to watch this video

Explores Laurent series, singularities, convergence, residues, and analytic functions with practical examples and calculations.

Complex Analysis: Laurent Series Log in to Mediaspace to watch this video

Explores Laurent series in complex analysis, emphasizing singularities, residues, and the Cauchy theorem.

Trigonometric Integrals: Residues Method Log in to Mediaspace to watch this video

Covers the calculation of integrals using the residues method and discusses singularities, poles, and examples.

Analyse IV: Laurent Series and Singularities Log in to Mediaspace to watch this video

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

Curves in Space: Singularities and Developments Log in to Mediaspace to watch this video

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