Fields Institute Courses

Introduction to Frames and Riesz Bases - Part 2

Explore Fourier transforms, wavelet theory, and Gabor frames in this advanced mathematics lecture, focusing on recent developments in frame theory and Riesz bases.

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

Introduction to Frames and Riesz Bases - Part 1

Explore key concepts of frames and Riesz bases in functional analysis, including characterizations, properties, and applications like Sigma-Delta quantization.

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

Colloquium Talk on Interpolation and Sampling

Explore interpolation and sampling in analytic function spaces, covering historical context, general problems, and modern perspectives on this mathematical topic.

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

The Invariant Subspace Problem: A Brief Overview of Recent Developments

Explore recent developments in the invariant subspace problem, covering history, proofs, reflexivity, and various techniques in operator theory and functional analysis.

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

Mini-course on Interpolation and Sampling - Part 2

Explore advanced concepts in interpolation and sampling, including Hardy spaces, Carleson measures, and weak interpolation in analytic function theory.

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

What the Numbers Say: Delta and the Classroom

Experts discuss Delta variant's impact on classrooms, examining statistics, ventilation, outbreak protocols, and safety measures for unvaccinated children as schools reopen amid the fourth wave.

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

Structured -In-Feasibility- Nonmonotone Operator Splitting in Nonlinear Spaces

Explore nonmonotone operator splitting in nonlinear spaces, covering optimization theory, convergence, and applications in harmonic analysis with Professor Russell Luke.

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

Transferring States in Discrete Quantum Walks

Explore discrete quantum walks, state transfer, and quantum walk search in graphs. Learn about coins, spectral correspondence, and applications in distance-regular graphs.

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

Spatial Search on Johnson Graphs by Continuous-Time Quantum Walk

Explore quantum walks on Johnson graphs for spatial search, covering setup, strategies, and analysis of search algorithms and success probabilities.

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

Oriented Cayley Graphs

Explore oriented Cayley graphs, quantum walks, and association schemes. Discover applications in algebraic graph theory and quantum information, with insights on special eigenvalues and Galois groups.

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

Quantum Walks on Graphs and Group State Transfer

Explore quantum walks, perfect state transfer, and group state transfer in graphs, focusing on algebraic structures and their applications in quantum information theory.

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

Topological Graph States

Explore topological graph states in quantum error correction, focusing on quantum graph states and their applications in error-correcting codes and topological systems.

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

Simplifying Dynamic Quantum Walks for Quantum Gates

Explore simplification techniques for dynamic quantum walks in quantum gate implementation, focusing on Hadamard gates and cubic gates with practical examples and observations.

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

Quantum Walks, Scattering Theory, and Universal Quantum Computation

Explore quantum walks, scattering theory, and their applications in universal quantum computation. Learn about wave packets, reflection, and multiparticle quantum walks in this advanced physics lecture.

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

Eigenvalue Gaps and Continuous Walks

Explore eigenvalue gaps, continuous walks, and perfect state transfer in algebraic graph theory, with applications to quantum information and oriented graphs.

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