Fields Institute Courses

Residual Dynamic Mode Decomposition- Rigorous Data-Driven Computation of Spectral Properties of Koopman Operators for Dynamical Systems

Explore rigorous data-driven methods for computing spectral properties of Koopman operators in dynamical systems, focusing on Residual Dynamic Mode Decomposition and its applications.

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

Donald Coxeter and Geometry

Explore Donald Coxeter's contributions to geometry, including non-Euclidean geometries, higher dimensions, and connections to art and music in this engaging mathematical journey.

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

Harmonic Maps and Rigidity

Explore harmonic maps, rigidity theorems, and their applications in geometry. Delve into existence theory, Mostow's strong rigidity, and approaches to rigidity using harmonic maps and the Bochner method.

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

Quasi-Metric Antipodal Spaces and Maximal Gromov Hyperbolic Spaces

Explore quasi-metric antipodal spaces and maximal Gromov hyperbolic spaces, covering topics like visual metrics, Moebius maps, and geometric mean-value theorem. Gain insights into boundary continuous spaces and their applications.

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

Quantum Control for Trapped Ion

Explore advanced quantum control techniques for trapped ions, including Hamiltonians, gates, error mitigation, and robust sequences for improved quantum operations.

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

Verifiable Quantum Supremacy - What I Hope Will Be Done

Explore the future of quantum computing, challenges in verifying quantum supremacy, and potential solutions with Scott Aaronson's expert insights and analysis.

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

A Complexity Theory for the Quantum Age?

Explore quantum complexity theory, entanglement, and the Black Hole Information Paradox in this talk on advancing computational models for the quantum era.

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

Premonitions of Public Data for Private ML

Explore how public data pre-training enhances private machine learning, examining its impact on accuracy, zero-shot learning, and the future of privacy-preserving AI techniques.

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

Differentially Private Sampling from Distributions

Explore techniques for private sampling from distributions, focusing on accuracy, privacy guarantees, and applications in statistical data analysis.

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

Privacy, Stability, and Online Learning

Explore the intersection of privacy, stability, and online learning, focusing on sample complexity, private learnability, and mistake-bounded learning in classification algorithms.

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

Private Learning of Gaussians and Their Mixtures

Explore private learning techniques for Gaussian distributions and mixtures, focusing on robust methods, hypothesis selection, and high-dimensional cases.

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

Control, Confidentiality, and the Right to Be Forgotten

Explore legal and technical aspects of data erasure, focusing on machine unlearning, confidentiality, and adaptive history independence in differential privacy contexts.

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

Data Augmentation MCMC for Bayesian Inference from Privatized Data

Explore data augmentation MCMC for Bayesian inference from privatized data, focusing on differential privacy challenges and solutions in statistical analysis.

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

Misspecification, and Uncertainty Quantification in Differential Privacy

Explore differential privacy's theoretical guarantees, misspecification issues, and uncertainty quantification methods. Gain insights into designing mechanisms and addressing implementation challenges.

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

The Glamorous Variety

Explore the aesthetic virtue of glamour in mathematics, focusing on semistable curves, modular curves, perfectoid rings, and connections to the Langlands program.

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