Institute for Pure & Applied Mathematics (IPAM) Courses

Approaches to Quantum Information Processing With Cold Atoms

Explore quantum simulation and computation approaches using cold atoms for understanding nature and advancing computational capabilities.

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

Deep Learning Algorithm for Core-Collapse Supernova Detection

Explore deep learning algorithms for detecting gravitational waves from core-collapse supernovae, enhancing multi-messenger astronomy and uncovering insights into extreme cosmic events.

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

Non-Astrophysical Transients in LIGO Detectors: Help With Machine Learning

Explore machine learning techniques for diagnosing non-astrophysical transients in LIGO detectors, enhancing gravitational wave detection and analysis in multi-messenger astrophysics.

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

Challenge of Characterising High-Mass Compact Mergers - The Case of GW190521

Explores challenges in analyzing gravitational waves from massive binary mergers, focusing on GW190521. Discusses Bayesian inference, prior choices, and alternative interpretations like eccentric mergers or exotic objects.

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

Building Flexible, but Not Too Flexible, Models of Gravitational Wave Data

Explore gravitational wave data analysis techniques, focusing on flexible modeling approaches to reduce biases in LIGO-Virgo observations while preventing overfitting.

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

The Black Hole Stability Problem - IPAM at UCLA

Explore analytic and geometric tools for understanding black hole stability in Kerr-de Sitter and Kerr spacetimes, presented by Stanford's András Vasy at IPAM's Workshop on Mathematical Aspects of Gravitation.

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

A New Approach to the Binary Inspiral Problem - IPAM at UCLA

Explore modern scattering theory applications to gravitational wave calculations, focusing on advances in quantum scattering amplitudes and their relevance to binary black hole inspiral problems.

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

The Memory Effect and Infrared Divergences - IPAM at UCLA

Explores memory effect in gravitational radiation, infrared divergences in quantum field theory, and challenges in quantum gravity scattering. Discusses solutions and limitations in describing incoming/outgoing states.

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

Global Existence for a System of Wave Equations on a Product Space - IPAM at UCLA

Explore global existence for wave equations on product spaces, a model for Einstein equations with compact dimensions in Kaluza-Klein theory. Presented by Cécile Huneau at IPAM's gravitation workshop.

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

On Naked Singularities for the Einstein Vacuum Equations - IPAM at UCLA

Explore the construction of naked singularities in Einstein vacuum equations with Yakov Shlapentokh-Rothman, delving into cutting-edge research in mathematical aspects of gravitation.

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

Multi-Oscillating Boson Stars - IPAM at UCLA

Explore multi-oscillating boson stars in general relativity, examining their characteristics, frequencies, and comparisons to single-frequency configurations in this advanced physics presentation.

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

Null Hypersurfaces and the Penrose Inequality for a Perturbed Schwarzschild Black Hole

Explores the Penrose inequality in general relativity, focusing on null hypersurfaces and perturbed Schwarzschild black holes. Discusses recent breakthroughs and ongoing challenges in this field of gravitational physics.

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

Positivity of Mass for Asymptotically Hyperbolic Initial Data Sets - IPAM at UCLA

Explore asymptotically hyperbolic initial data in Einstein equations, focusing on positivity of mass and its implications for understanding gravitational systems and Bondi mass.

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

Instability of Anti-de Sitter Spacetime for the Einstein-Scalar Field System

Explores the AdS instability conjecture in Einstein-scalar field systems, presenting a rigorous proof and discussing potential extensions to vacuum cases in general relativity.

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

Numerical Relativity - Exploring New Capabilities with Binary Black Holes

Exploring advancements in numerical relativity for binary black holes, including improved gravitational wave extraction, computational algorithms, and extended parameter space coverage.

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