Convergence Courses and Certifications

Hausdorff Center for Mathematics

Mean Field Limit by Gamma Convergence

Explores mean-field limit for λ-convex potentials using variational methods, focusing on gradient flows and Γ-convergence in interacting particle systems.

• YouTube
• 30 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Indirect Diffusion Effect and Convergence to Equilibrium

Explores indirect diffusion in reaction-diffusion systems, showing how non-diffusing species can still reach equilibrium through interactions with diffusing species and reversible reactions.

• YouTube
• 33 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Convergence Theory of Adaptive Finite Element Methods

Explore the convergence theory of adaptive finite element methods for elliptic PDEs, including approximation classes and optimal convergence rates.

• YouTube
• 1 hour 23 minutes
• On-Demand
• Free Video

Security and IT Convergence

Explore the convergence of security and IT, covering integration, risks, systems, and organizational challenges. Learn about cyber threats, cost considerations, and social engineering in this comprehensive overview.

• YouTube
• 58 minutes
• On-Demand
• Conference Talk

Convergence Configurations, Vulnerabilities and Unexpected Changes

Explore convergence configurations, vulnerabilities, and unexpected changes in information security, focusing on practical insights and emerging threats in the field.

• YouTube
• 47 minutes
• On-Demand
• Conference Talk

International Centre for Theoretical Sciences

Stein Variational Gradient Descent - Fast Finite-Particle Convergence

Explore Stein Variational Gradient Descent and its fast finite-particle convergence in this technical talk by Dheeraj Nagaraj, part of a data science discussion meeting on probabilistic and optimization methods.

• YouTube
• 48 minutes
• On-Demand
• Free Video

International Mathematical Union

Convergence of the Two-Point Form Factor Series in the 1+1 Dimensional Sinh-Gordon Model

Explores convergence of form factor series in 1+1D Sinh-Gordon model, developing techniques to prove convergence and estimate large-n behavior of n-fold integrals, advancing mathematical foundations of integrable quantum field theories.

• YouTube
• 48 minutes
• On-Demand
• Free Video

International Mathematical Union

Convergence of a Dilute Gas to the Fluctuating Boltzmann Equation

Explore the convergence of a dilute gas to the fluctuating Boltzmann equation, examining empirical measure fluctuations and their convergence to a Gaussian process for short and long time periods.

• YouTube
• 48 minutes
• On-Demand
• Free Video

IMSA

Gromov-Hausdorff Convergence of Filtered A Infinity Categories

Explore Floer homology's dependence on Hamiltonian isotopy, its multiplicative structure, and connections to homological Mirror symmetry in formal deformation theory.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

Society for Neuroscience

Convergence of Neuroscience and Tibetan Buddhist Perspectives

Exploring intersections between neuroscience and religious perspectives, focusing on constructive engagement, cross-cultural dialogue, and ethical implications for scientific research and education.

• YouTube
• 17 minutes
• On-Demand
• Conference Talk

AGU

Convergence of Ideas and Communities

Explore global ocean policy perspectives with experts from Europe and the US, discussing research initiatives, funding, and international collaborations for marine sciences advancement.

• YouTube
• 1 hour 18 minutes
• On-Demand
• Conference Talk

Institute for Pure & Applied Mathematics (IPAM)

Convergence of the Planewave Approximations for Quantum Incommensurate Systems

Explore quantum incommensurate systems through rigorous analysis of Schrödinger operators' spectrum distribution, focusing on density of states characterization and planewave approximation methods with novel energy cutoffs.

• YouTube
• 32 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

The Effectiveness of Nonconvex Tensor Completion - Fast Convergence and Uncertainty Quantification

Explores nonconvex optimization for tensor completion, proposing a two-stage algorithm with guaranteed success, linear convergence, and statistical accuracy. Discusses distribution characterization and confidence interval construction.

• YouTube
• 33 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Convergence in Hölder and Sobolev Norms for Galerkin Approximations of Generalized Whittle-Matern Fields

Optimal convergence rates for Galerkin approximations of generalized Whittle-Matern fields in Hölder and Sobolev norms, covering spectral and finite element methods for Gaussian random fields.

• YouTube
• 49 minutes
• On-Demand
• Free Video

Fields Institute

Convergence of Scattering Data and Non-Linear Fourier Transform - Part 1

Explore canonical systems, spectral problems, and Hilbert spaces of entire functions in this advanced mathematical analysis lecture on scattering data and non-linear Fourier transform.

• YouTube
• 55 minutes
• On-Demand
• Free Video