Spectral Methods Courses and Certifications

Hausdorff Center for Mathematics

Spectral Methods in Algebra, Geometry, and Topology

Explore advanced spectral methods across tensor triangular geometry, equivariant stable homotopy, representation theory, and chromatic homotopy theory.

• YouTube
• 11 hours 46 minutes
• On-Demand
• Free Video

Georgia Tech Research

Spectral Methods Meets Asymmetry: Two Recent Stories - Lecture 4

Explore spectral methods for asymmetric data matrices, covering top-K ranking and matrix de-noising. Learn advantages over traditional approaches in data analysis and estimation.

• YouTube
• 49 minutes
• On-Demand
• Free Video

CITA Presentations

Sparse Spectral Methods for Solving Differential Equations

Explore advanced spectral methods and mathematical techniques for solving differential equations, focusing on sparse algorithms, boundary conditions, and polynomial applications.

• YouTube
• 53 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Spectral Refutations and Their Applications to Algorithms and Complexity - Lecture 2

Explore spectral refutation techniques and their algorithmic applications in computational complexity theory through advanced mathematical analysis.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Spectral Refutations and Their Applications to Algorithms and Complexity - Lecture 1

Explore spectral refutations and their algorithmic applications in computational complexity through advanced theoretical computer science methods.

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Deterministic Solution of the Boltzmann Equation - Fast Spectral Methods

Explore fast Fourier spectral methods for solving the Boltzmann equation, addressing computational challenges and showcasing applications in rarefied gas dynamics.

• YouTube
• 40 minutes
• On-Demand
• Free Video

Centre de recherches mathématiques - CRM

Boundary Integral Methods, Eigenvalues and Computational Spectral Geometry

Explore boundary integral methods for computing eigenpairs of elliptic operators with high accuracy and efficiency, covering smooth and polygonal domains in spectral geometry.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

UofU Data Science

Data Mining: Spectral Clustering and Laplacian Methods - Lecture 13

Dive into advanced clustering techniques, exploring spectral methods, Laplacian matrices, and affinity-based approaches for effective data organization and analysis.

• YouTube
• 1 hour 21 minutes
• On-Demand
• Free Video

Inside Livermore Lab

High Performance Asynchronous I/O for Exascale Spectral Element Methods

Explore high-performance asynchronous I/O solutions for exascale spectral element methods, featuring PyFR v3's new parallel file format designed to address I/O bottlenecks in leadership-class machines.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Aleksa Gordić - The AI Epiphany

Graph Convolutional Networks - GNN Paper Explained

Comprehensive exploration of Graph Convolutional Networks, covering theory, implementation, and applications. Delves into spectral methods, Weisfeiler-Lehman perspective, and GNN depth, offering insights for both beginners and experts.

• YouTube
• 50 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Jacob Lurie: A Riemann-Hilbert Correspondence in P-adic Geometry

Explore p-adic geometry and the Riemann-Hilbert correspondence, covering perfectoid spaces, crystals, and spectral methods in this advanced mathematics lecture.

• YouTube
• 57 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Graph Alignment: Informational and Computational Limits - Lecture 2

Explore graph alignment challenges, focusing on informational and computational limits. Gain insights into probabilistic and optimization methods for data science applications.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Modern Numerical Methods in Computational Relativity - Lecture 2

Explore advanced numerical techniques for solving Einstein's equations in computational relativity, focusing on applications in gravitational-wave astronomy and astrophysical simulations.

• YouTube
• 1 hour 37 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Modern Numerical Methods in Computational Relativity - Lecture 3

Explore advanced numerical techniques for solving Einstein's equations in computational relativity, focusing on modeling gravitational waves from merging black holes and neutron stars.

• YouTube
• 1 hour 49 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Modern Numerical Methods in Computational Relativity - Lecture 5

Explore advanced numerical techniques in computational relativity, focusing on simulating black hole mergers and other high-energy astrophysical phenomena for gravitational-wave astronomy.

• YouTube
• 2 hours
• On-Demand
• Free Video