Fields Institute Courses

How Topological Recursion Organizes Quantum Fields on Noncommutative Geometries - Part 2

Explore advanced concepts in quantum field theory, focusing on topological recursion and its application to noncommutative geometries in this advanced mathematics lecture.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

Packings of Partial Difference Sets

Explore the mathematical concept of packings of partial difference sets in this concise talk by Shuxing Li, delving into new advances in designs, codes, and cryptography.

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

Speeding Up Multi-Scalar Multiplication over Fixed Points

Explore techniques to accelerate multi-scalar multiplication over fixed points, enhancing efficiency in cryptographic operations and mathematical computations.

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

Quantum Gravity From Integration Over Dirac Ensembles

Explore the intersection of quantum gravity and Dirac ensembles in this advanced physics lecture, delving into cutting-edge theories and mathematical frameworks.

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

Jeff and Doug's Excellent Math Adventure

Explore new advances in designs, codes, and cryptography with Jeffrey Dinitz in this engaging 34-minute talk, highlighting recent developments and future directions in the field.

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

Transseries and Discrete Dynamical Systems

Explore transseries and their applications in discrete dynamical systems, focusing on interactions between o-minimal, complex analytic, and nonarchimedean methods.

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

Strongly Linear Maps on Bounded Hahn Fields- Applications to Derivations, Logarithms, Automorphisms

Explore strongly linear maps on bounded Hahn fields and their applications to derivations, logarithms, and automorphisms in this advanced mathematics lecture.

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

Generalised Power Series Determined by Linear Recurrence Relations

Explore generalised power series and linear recurrence relations in this advanced mathematics talk, covering determined sets, Hahn fields, and Rayner fields.

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

Partial Desingularization

Explore partial desingularization in tame geometry, examining interactions between o-minimal, complex analytic, and nonarchimedean methods.

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

Dichotomy Interlacement Versus Hardy in Definable ODE's

Explore the interplay between dichotomy interlacement and Hardy's theory in definable ordinary differential equations, delving into advanced mathematical concepts and their applications.

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

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