Fields Institute Courses

On the X Y Symmetry in Topological Recursion via Loop Insertion Operator

Explore the x-y symmetry in Topological Recursion through the lens of loop insertion operators, delving into advanced mathematical concepts and their applications.

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

Reflection

Explore homotopy theory's applications in arithmetic and geometry with David Ayala's insightful conference talk, delving into the concept of reflection in mathematical contexts.

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

Weights in Homotopy Theory

Explore the concept of weights in homotopy theory, examining their applications and implications for arithmetic and geometric studies in mathematics.

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

The Mod -p,v1- Motivic Filtration on the Topological Cyclic Homology of Topological K-Theory

Explore the mod (p,v1) motivic filtration on topological cyclic homology of K-theory, delving into advanced concepts in homotopy theory and its applications to arithmetic and geometry.

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

Syntomic Complexes

Explore syntomic complexes in arithmetic and geometry with Akhil Mathew, delving into advanced mathematical concepts and their applications in homotopy theory.

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

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