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Organizing Committee

Stefanos Aretakis
University of Toronto

Douglas Arnold
University of Minnesota

Manuela Campanelli
Rochester Institute of Technology

Scott Field
University of Massachusetts Dartmouth

Jonathan Gair
Max Planck Institute for Gravitational Physics

Jae-Hun Jung
POSTECH

Gaurav Khanna
University of Massachusetts Dartmouth

Stephen Lau
University of New Mexico

Steven Liebling
Long Island University

Deirdre Shoemaker
University of Texas at Austin

Jared Speck
Vanderbilt University

Saul Teukolsky
Cornell University

Abstract

The Nobel-Prize-winning detection of gravitational waves from binary black hole systems in 2015 by the Laser Interferometer Gravitational-Wave Observatory (LIGO) and the LIGO Scientific Collaboration has opened a new window on the universe. In addition, the 2017 observation of both gravitational and electromagnetic waves emitted by a binary neutron star system marked a new era of multi-messenger astronomy. While these successes are a remarkable experimental feat, they also constitute a significant computational achievement due to the crucial role played by accurate numerical models of the astrophysical sources in gravitational-wave data analysis. As current detectors are upgraded and new detectors come online within an international network of observatories, accurate, efficient, and advanced computational methods will be indispensable for interpreting the diversity of gravitational wave signals. This semester program at ICERM will emphasize the fundamental mathematical and computational challenges in computational relativity and gravitational-wave data science.

The aim of this semester program is to bring together pure and applied mathematicians, physicists, and statisticians with the goals of fostering an environment for in-depth collaboration and cross-pollination of ideas between these communities, working towards solving the most pressing mathematical modeling and numerical simulation issues facing the gravitational wave community, and cultivating new subfields within mathematics that focus on important, pressing issues related to gravitational waves as well as providing mathematicians with new questions and problems to explore.

The program's areas of focus will be: (i) mathematical and computational approaches for solving the source-free Einstein field equations (a nonlinear, coupled, hyperbolic-elliptic PDE system) including fundamental aspects of general relativity or alternative theories of gravity, (ii) mathematical and computational approaches for the Einstein field equations with matter and magnetic fields, as well as the multi-scale, multi-physics modeling challenges for such problems, and (iii) methods for the detection, classification, and Bayesian inference of relativistic objects and gravitational-wave datasets, especially by considering under-explored techniques such as machine learning or uncertainty quantification.

Image credit: Tia K Martineau

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Semester Schedule

Wednesday, September 09, 2020

11:00 AM - 12:00 PM EDT

Fall 2020 Welcome - Brendan Hassett, ICERM Director, and Program Organizers

Friday, September 11, 2020

12:00 - 1:30 PM EDT

Informal Lunchtime Meet&Greet

Monday, September 14, 2020

9:00 - 9:10 AM EDT

Welcome - ICERM Director

9:10 - 9:55 AM EDT

Advances and Challenges in Waveform Modeling for Gravitational-Wave Observations - Alessandra Buonanno, Max Planck Institute for Gravitational Physics

9:55 - 10:40 AM EDT

Gravitational Wave Data Analysis - Neil Cornish, Montana State University

10:40 - 11:25 AM EDT

Self-gravitating massive fields- stability, decay, and regularity - Philippe LeFloch, Sorbonne University

11:30 AM - 1:00 PM EDT

Break for Lunch/ Free Time

1:00 - 1:45 PM EDT

Advances in Cauchy Characteristic Extraction methods in SpECTRE - Jordan Moxon, California Institute of Technology

1:45 - 2:30 PM EDT

Structure-preserving numerical methods in relativity - Doug Arnold, University of Minnesota

2:30 - 3:15 PM EDT

SpECTRE- towards high-order hydrodynamics and exascale numerical relativity - Nils Deppe, Cornell University