Stability Theory Courses and Certifications

IIT Madras;  NPTEL

Nonlinear Dynamical Systems and Control

Explore stability and control of nonlinear systems, covering Lyapunov methods, robust and adaptive control, and applications in aerospace and chemical process industries.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

Fields Institute

Stability and Combinatorics in Pure Model Theory - Lecture 11

Explore stable graph regularity, stability, and homogeneity in pure model theory, with insights on bipartite graphs and function control.

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

Fields Institute

Topics in Applied Model Theory - Lecture 7

Explore introdefinable sets, residual extensions, and stability in applied model theory with Silvain Rideau-Kikuchi's advanced lecture on disjunction and contradiction.

• YouTube
• 1 hour 40 minutes
• On-Demand
• Free Video

International Mathematical Union

Hydrodynamic Stability at High Reynolds Number and Transition Threshold Problem

Explores hydrodynamic stability theory, focusing on laminar flow instability and turbulence transition at high Reynolds numbers. Discusses key physical effects and recent progress in linear inviscid damping and enhanced dissipation for shear flows.

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

Applied Algebraic Topology Network

L-P Metrics on Multiparameter Persistence Modules

Explores generalizations of p-Wasserstein distance for multi-parameter persistence modules, introducing d_I^p and d_M^p metrics. Examines their properties and applications in topological data analysis.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

IMSA

Model Theory - From Logic to Geometric Stability Theory and O-Minimality I

Explore model theory principles, focusing on o-minimality and stability theory, with applications to complex geometry and arithmetic aspects.

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

Institute for Pure & Applied Mathematics (IPAM)

Wasserstein Distributionally Robust Optimization - Theory and Applications in Machine Learning

Explore Wasserstein distributionally robust optimization theory and its applications in machine learning, focusing on data-driven decision-making under uncertainty and statistical learning.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

Steve Brunton

Solving Systems of Differential Equations with Eigenvalues and Eigenvectors

Learn to solve systems of linear ODEs using eigenvalues and eigenvectors. Covers problem setup, solution methods, and intuitive interpretation, with code examples in Python and MATLAB.

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

Fields Institute

Stability and Lifting Properties for C*-algebras and Groups - Lecture 2

Explore stability and lifting properties in C*-algebras and groups, delving into advanced mathematical concepts with expert insights from Tatiana Shulman.

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

Society for Industrial and Applied Mathematics

Seminar in the Analysis and Methods of PDE - Christopher K.R.T. Jones

Explore stability indices for nonlinear waves and patterns in PDEs, focusing on Evans Function and Maslov Index approaches, their geometric interpretations, and recent advancements in complex problem analysis.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Fields Institute

Stability and Lifting Properties for C*-Algebras and Groups - Lecture 1

Explore stability and lifting properties in C*-algebras and groups, focusing on advanced mathematical concepts and their applications in operator theory.

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

Fields Institute

Stability and Lifting Properties for C*-algebras and Groups - Lecture 3

Explore stability and lifting properties in C*-algebras and groups, delving into advanced mathematical concepts with expert insights from Tatiana Shulman.

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

Fields Institute

Tame Control Theory - Lecture 5

Explore advanced concepts in tame control theory, focusing on phenomena over real fields. Delve into graduate-level mathematical analysis and applications.

• YouTube
• 1 hour 37 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Stabilizing Decomposition of Multiparameter Modules

Explores stability theories for multiparameter module decomposition, addressing challenges and presenting recent findings. Discusses potential strengthening of stability results for staircase decomposable modules.

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

IMSA

Dispatches from the Ends of the Stability Manifold - Part II

Explores noncommutative minimal model program, stability manifolds, and multi-scale decompositions in triangulated categories. Discusses augmented stability conditions and their potential implications for moduli spaces.

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