Fields Institute Courses

Workshop on Distance Geometry - Semidefinite Programming and Applications

Explore advanced mathematical techniques connecting distance geometry, semidefinite programming, and polynomial optimization through expert presentations and research insights.

• YouTube
• 14 hours 26 minutes
• Self-Paced
• Free Video

Symplectic Geometry

Master symplectic manifolds, Darboux theorem, Hamiltonian mechanics, moment maps, and advanced topics like toric varieties, quantization, and mirror symmetry in this comprehensive mathematical framework.

• YouTube
• 1 day 11 hours 57 minutes
• Self-Paced
• Free Video

Geometric Constraint Systems

Explore rigidity theory, tropical geometry, matrix completion, and graphical models through comprehensive lectures on geometric constraint systems and their applications in data science.

• YouTube
• 20 hours 48 minutes
• Self-Paced
• Free Video

Data-Driven Modelling - Machine Learning and Dynamical Systems

Explore cutting-edge machine learning techniques for modeling complex dynamical systems through data-driven approaches and computational methods.

• YouTube
• 18 hours 28 minutes
• Self-Paced
• Free Video

Reservoir Computing - Machine Learning and Dynamical Systems

Explore cutting-edge reservoir computing techniques across hardware implementations, chaos prediction, and applications in turbulence, finance, and photonics through expert presentations.

• YouTube
• 8 hours 24 minutes
• Self-Paced
• Free Video

Kernel Methods for Machine Learning and Dynamical Systems

Explore advanced kernel methods in machine learning and dynamical systems through expert talks on Gaussian processes, functional data analysis, and sparse factorization techniques.

• YouTube
• 9 hours 2 minutes
• Self-Paced
• Free Video

Deep Learning - Machine Learning and Dynamical Systems

Explore cutting-edge research connecting deep learning with dynamical systems through expert presentations on neural networks, control theory, and mathematical foundations.

• YouTube
• 4 hours 59 minutes
• Self-Paced
• Free Video

AI for Math - Neuro-Symbolic Auto-Formalization into Lean via Joint Embeddings

Explore neuro-symbolic approaches combining LLMs with automated reasoning tools for natural language to formal language tasks, focusing on code generation and mathematical proof synthesis in Lean.

• YouTube
• 1 hour 30 minutes
• Self-Paced
• Free Video

How to Act Frugally When Thinking Is Pricy

Discover how to make optimal decisions while minimizing cognitive costs through computational neuroscience principles and frugal thinking strategies.

• YouTube
• 45 minutes
• Self-Paced
• Free Video

Spaun 3.0 - A Next Generation Large-Scale Brain Model

Discover how Spaun 3.0 advances large-scale brain modeling with cutting-edge neural architecture and cognitive simulation breakthroughs from University of Waterloo research.

• YouTube
• 46 minutes
• Self-Paced
• Free Video

Using Artificial Neural Networks to Test the Tools of Neuroscience

Explore how artificial neural networks serve as testing grounds for neuroscience methodologies and research tools in this insightful academic presentation.

• YouTube
• 46 minutes
• Self-Paced
• Free Video

The Global Latent Workspace - A Model of Cognition with AI Applications

Explore how the Global Latent Workspace model bridges neuroscience and AI, revealing cognitive mechanisms that could revolutionize artificial intelligence applications.

• YouTube
• 49 minutes
• Self-Paced
• Free Video

Qualia and Symmetry in Neural Networks

Explore the relationship between qualia and symmetry principles in neural network architectures and their implications for consciousness research.

• YouTube
• 45 minutes
• Self-Paced
• Free Video

How SPDEs May Be Used to Construct Euclidean QFTs

Explore how Stochastic Partial Differential Equations serve as powerful tools for constructing Euclidean Quantum Field Theories in this advanced mathematical physics presentation.

• YouTube
• 2 hours 6 minutes
• Self-Paced
• Free Video

Modelling Financial Market Imperfection Using Open Quantum Systems

Explore quantum system models to understand financial market imperfections and their real-world applications in modern finance theory.

• YouTube
• 29 minutes
• Self-Paced
• Free Video