Fields Institute Courses

Margulis Arithmeticity and Approximate Lattices

Explore Margulis arithmeticity and approximate lattices in this advanced mathematics lecture by Ehud Hrushovski, delving into complex algebraic and geometric concepts.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

Coxeter Lecture Series - On Approximate Subgroups

Explore approximate subgroups with Ehud Hrushovski, delving into advanced mathematical concepts and their applications in group theory and related fields.

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

Combined Arbitrary Lagrangian-Eulerian Approach and Adaptive Remeshing Technique for the Finite

Explore advanced numerical methods combining ALE approach and adaptive remeshing for finite element simulations, enhancing accuracy and efficiency in complex engineering problems.

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

Modelling Immunity

Explore mathematical models of immunity generation and waning, fitted to data for estimating seroprevalence in Canadian jurisdictions, with applications to COVID-19 vaccination programs.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

Decidability via the Tilting Correspondence

Explore the concept of decidability through the tilting correspondence with Oxford researcher Konstantinos Kartas, delving into advanced mathematical theories and their applications.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video

Higher-Order Generalizations of Stability and Arithmetic Regularity

Explore higher-order generalizations of stability and arithmetic regularity in this advanced mathematical workshop, delving into complex concepts and their applications.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

The Non-Commutative Analytic Toeplitz Algebra and Free Semigroup Algebras

Explore non-commutative analytic Toeplitz algebra and free semigroup algebras, covering topics like weak operator topology, functional calculus, and invariant subspaces.

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

Irregular Triads in 3-Uniform Hypergraphs

Explore irregular triads in 3-uniform hypergraphs, delving into advanced concepts in model theory and combinatorics with Caroline Terry from Ohio State University.

• YouTube
• 1 hour 15 minutes
• Self-Paced
• Free Video

Mini-course on Non-Commutative Function Theory - Part 1

Explore non-commutative function theory fundamentals in this concise lecture, covering key concepts and applications in advanced mathematical analysis.

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

Class Groups, Congruences, and Cup Products

Explore class groups, congruences, and cup products in number theory, delving into advanced mathematical concepts and their interconnections.

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

On Normalization in the Integral Models of Shimura Varieties of Hodge Type

Explore normalization in integral models of Shimura varieties of Hodge type, delving into advanced number theory concepts and their applications in algebraic geometry.

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

The Corona Problem: Foundations and Historical Context - Part 1

Explore the Corona Problem in complex analysis with Alexander Brudnyi. Gain insights into this fundamental mathematical concept and its applications in analytic function spaces.

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

Strong Minimality and Algebraic Relations Between Solutions for Poizat's Family of Equations

Explore strong minimality and algebraic relations in solutions for Poizat's equations, delving into advanced concepts in model theory and mathematical logic.

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

Backward Maps Have Gone Nuclear - Factorization Theorems of Backward Shifts and Nuclear Maps

Explore factorization theorems of backward shifts and nuclear maps, delving into advanced mathematical concepts and their applications in analytic function spaces.

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

A General Stochastic Framework for Modeling the Spread of Complex Diseases

Explore a stochastic framework for modeling complex disease spread, examining mathematical approaches to understand and predict epidemic dynamics.

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