Fields Institute Courses

Toward a Unification of Infinities

Explore the concept of unifying different types of infinities in mathematics, delving into advanced theoretical frameworks and their implications for transseries and dynamical systems.

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

Rigidity of Saddle Loops

Explore the mathematical concept of rigidity in saddle loops, focusing on their properties and applications in dynamical systems theory.

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

Holomorphic Continuation of R_an,exp - Germs: The Missing Lecture

Explore holomorphic continuation of R_an,exp-germs in this advanced mathematics lecture, delving into complex analysis and dynamical systems.

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

Height Bounds for Certain Exceptional Points in Some Variations of Hodge Structures

Explore height bounds for exceptional points in Hodge structure variations, delving into advanced number theory concepts and their applications in algebraic geometry.

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

Lindelöf Σ-Spaces in 2022

Explore recent developments in Lindelöf Σ-spaces, including their properties, applications, and connections to other areas of set theory and topology.

• YouTube
• 1 hour 35 minutes
• Self-Paced
• Free Video

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