Fields Institute Courses

Equivariant Enumerative Geometry

Explore equivariant enumerative geometry, delving into advanced mathematical concepts and their applications in arithmetic and geometry.

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

What the Numbers Say - Inflation in the Nation

Experts discuss Canada's inflation crisis, exploring mathematical models behind economic decisions and their impact on citizens. Panel answers audience questions on complex financial variables and national responses.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

On the K-Theory of Z-P^n

Explore the intricate world of K-theory and its applications to Z/p^n, delving into advanced mathematical concepts and their implications in arithmetic and geometry.

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

Analytic Geometry

Explore advanced concepts in analytic geometry with renowned mathematician Peter Scholze, delving into its applications in arithmetic and homotopy theory.

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

Slices of ΣnHZ over Q8

Explore slices of ΣnHZ over Q8, delving into homotopy theory applications in arithmetic and geometry. Gain insights from expert Carissa Slone's research presentation.

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

Learning Dynamical Systems via Koopman Operator Regression in Reproducing Kernel Hilbert Spaces

Explore Koopman operator regression in reproducing kernel Hilbert spaces for dynamical systems, enhancing understanding of machine learning applications in complex systems analysis.

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

How Topological Recursion Organises Quantum Fields on Noncommutative Geometries

Explore how topological recursion structures quantum fields in noncommutative geometries, presented by Alexander Hock from the University of Oxford.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

Some Mathematical Insights About Traveling Waves

Explore mathematical insights on traveling waves, focusing on their applications in range expansion and evolutionary processes.

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

Third Order Cumulants of Complex Wigner Matrices

Explore third order cumulants of complex Wigner matrices in noncommutative geometry and free probability theory, advancing understanding of random matrix theory.

• YouTube
• 1 hour 11 minutes
• Self-Paced
• Free Video

Homological Methods in Random Noncommutative Geometry

Explore homological methods in random noncommutative geometry, covering fuzzy spectral triples, Dirac operators, and connections to random matrix theory and BV formalism.

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

Dispersal Evolution in Climate-Driven Range Shifts

Explore how climate change impacts species' range shifts and dispersal evolution, examining mathematical models and ecological implications for biodiversity conservation.

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

Tensor Harish-Chandra–Itzykson–Zuber Integral & Entanglement Detection in Multipartite Quant Systems

Explore tensor integrals and their applications in quantum entanglement detection, focusing on multipartite systems and advanced mathematical concepts in quantum physics.

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

How Topological Recursion Organizes Quantum Fields on Noncommutative Geometries - Part 3

Explore advanced concepts in quantum field theory and noncommutative geometry, focusing on topological recursion and its applications in organizing quantum fields.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video

Construct Your Design Explicitly! If You Can

Explore explicit construction methods for combinatorial designs, focusing on their advantages and challenges in mathematical research and applications.

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

Remembering Rudi Mathon

Tribute to mathematician Rudi Mathon, highlighting his contributions to designs, codes, and cryptography. Explores his legacy and impact on the field.

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