Fields Institute Courses

The Absolute Model Companionship Spectrum of a Mathematical Theory and the Continuum Problem

Explore the Continuum problem and mathematical theory's Model Companionship Spectrum with Matteo Viale, delving into existentially closed models and absolute model companionship concepts.

• YouTube
• 1 hour 27 minutes
• Self-Paced
• Free Video

Representations of Arthur Type

Explore advanced number theory concepts focusing on representations of Arthur type, delving into their properties and applications in mathematical research.

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

Equilibrium Staking Levels in a Proof-of-Stake Blockchain

Explore equilibrium staking levels in proof-of-stake blockchains, examining mathematical models and implications for network security and economic incentives.

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

Systemic Fragility in Decentralized Markets

Explore systemic fragility in decentralized markets, examining liquidation data, collateral tokens, and decentralized exchanges to understand their impact on market stability.

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

Generalized Kac-Moody Superalgebras and Root Groupoid

Explore advanced algebraic structures with Vera Serganova as she delves into Generalized Kac-Moody Superalgebras and Root Groupoid, offering insights for mathematicians and theoretical physicists.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

Affine Kac-Moody Groups as Twisted Loop Groups

Explore the connection between affine Kac-Moody groups and twisted loop groups in this mathematical talk, delving into advanced algebraic structures and symmetry concepts.

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

Smooth Dynamic vs Symbolic Dynamic

Explore the interplay between smooth and symbolic dynamics in this advanced mathematics lecture by Olivier Mathieu, delving into complex theoretical concepts and their applications.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

The Mathematics of a Model of the Mind in Psychology

Explore the mathematical foundations underlying psychological models of the mind, delving into set theory and its applications in cognitive science.

• YouTube
• 1 hour 17 minutes
• Self-Paced
• Free Video

Factorization and Modular Forms

Explore quantum algorithms for factorization and modular forms with Kumar Murty, delving into advanced mathematical concepts and their applications in quantum computing.

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

Controlling and Managing an Infectious Disease Outbreak - Stochastic Mathematical Modelling Approach

Explore stochastic mathematical modeling for infectious disease outbreak control and management, focusing on innovative approaches and practical applications in epidemiology.

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

Applications of O-minimality to Hodge Theory - Lecture 6

Explore advanced concepts in o-minimality and their applications to Hodge Theory in this graduate-level lecture by Jacob Tsimerman from the University of Toronto.

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

Derived Differential Geometry and the Quantization of Gauge Field Theories

Explore advanced mathematical concepts in derived differential geometry and their applications to quantizing gauge field theories in physics.

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

Local Structures of Z-Graded Q-Manifolds

Explore Z-graded Q-manifolds' local structures, delving into advanced mathematical concepts within supergeometry and bracket structures in physics.

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

An Overview of Agent-Based Simulation Modeling with Examples

Explore agent-based simulation modeling through examples like chickenpox and pertussis, learning key concepts and applications in epidemiology and public health.

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

Hamiltonian Geometry and Dynamics Behind Compressible Fluids

Explore Hamiltonian geometry and dynamics in relation to compressible fluids, delving into mathematical concepts and physical applications in fluid mechanics.

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