Nonlinear Waves and Relativity

The aim of the thematic programme is to present the state-of-the-art and to discuss future challenges in the areas of dispersive partial differential equations and mathematical relativity. In particular, we would like to stimulate interaction between these closely related but distinct fields.  General relativity is a classical but highly active area of research in mathematical physics with a long tradition in Vienna. The field of dispersive partial differential equations, on the other hand, is still relatively new but has become a cornerstone of modern analysis. Both areas have seen spectacular developments in the last 20 years. The overall goal of the program is to foster mutual stimulation and interaction in order to open new directions of research.

Within the programme there will take place two workshops:

Workshop 1, May 13 - 17, 2024
Workshop 2, June 17 - 21, 2024

May 7, 2024
11:15 — 12:15
Håkan Andréasson (Chalmers U of Technology, Gothenburg)
Oppenheimer-Snyder type collapse for the Einstein-Vlasov system
May 8, 2024
13:45 — 14:45

(via Zoom, Meeting ID: 654 003 6841 Passcode: Gs4brS )

15:15 — 16:15

Mathematics Colloquium, Sky Lounge, Oskar-Morgenstern-Platz 1, 1090 Vienna

May 13, 2024
09:00 — 09:45
Registration
09:45 — 10:00
Welcome
10:00 — 11:00
11:00 — 11:15
Coffee Break
12:15 — 14:00
Lunch Break
14:00 — 15:00
15:00 — 15:15
Coffee Break
May 14, 2024
11:00 — 11:15
Coffee Break
11:15 — 12:15
12:15 — 14:00
Lunch Break
14:00 — 15:00
Pierre Germain (Imperial College London)
Nonlinear waves and turbulence
15:00 — 15:15
Coffee Break
15:30 — 15:45
16:00 — 16:15
Coffee Break
May 15, 2024
09:15 — 10:15
10:15 — 10:30
Coffee Break
11:30 — 11:45
Coffee Break
12:45 — 14:15
Lunch Break
14:15 — 15:15
Arthur Touati (École Polytechnique, Palaiseau)
Initial data for stability theorems in general relativity
18:30 — 22:00
Conference Dinner
May 16, 2024
11:00 — 11:15
Coffee Break
11:15 — 12:15
12:15 — 14:00
Lunch Break
14:00 — 15:00
15:00 — 15:15
Coffee Break
15:15 — 16:15
Christoph Kehle (ETH Zurich)
Extremal Critical Collapse
May 17, 2024
09:30 — 10:30
Philippe G. LeFloch (Sorbonne U, Paris)
Optimal shielding for Einstein gravity
10:30 — 10:45
Coffee Break
10:45 — 11:45
Maciej Maliborski (U of Vienna)
Periodic solutions for 1d nonlinear wave equation
May 21, 2024
09:30 — 11:15
Registration

Please note, this week the talks of the programme will take place in the Schrödinger Lecture Hall.

May 22, 2024 May 23, 2024
10:00 — 11:00
11:15 — 12:15
David Wallauch-Hajdin (U of Vienna)
Optimal blowup stability for wave maps
May 28, 2024
11:00 — 12:00
Michael McNulty (Michigan State U, East Lansing)
Stable blowup for the higher-dimensional Skyrme model
June 12, 2024
14:45 — 15:15
Coffee and Cake

Skylounge, Oskar-Morgenstern-Platz 1, 1090 Wien

15:15 — 16:15
Joachim Krieger (EPFL, Lausanne)
Singularity formation for a geometric wave equation.

Location: Skylounge, Oskar-Morgenstern-Platz 1, 1090 Wien

June 14, 2024
14:00 — 14:45
June 17, 2024
09:00 — 09:30
Registration
10:15 — 10:45
Coffee Break
11:30 — 12:00
Coffee Break
June 18, 2024
09:15 — 10:00
10:00 — 10:30
Coffee Break
11:15 — 11:45
Coffee Break
11:45 — 12:30
15:30 — 15:45
June 19, 2024
09:15 — 10:00
10:00 — 10:30
Coffee Break
10:30 — 11:15
11:15 — 11:45
Coffee Break
11:45 — 12:30
15:00 — 15:45
18:30 — 22:00
Conference Dinner at Feuerwehr-Wagner
June 20, 2024
09:15 — 10:00
10:00 — 10:30
Coffee Break
10:30 — 11:15
11:15 — 11:45
Coffee Break
11:45 — 12:30
June 21, 2024
09:15 — 10:00
10:00 — 10:30
Coffee Break
10:30 — 11:15
11:15 — 12:00
Benoit Pausader (Brown U, Providence)
Landau damping/Surfing ducklings
This event has no subevents associated to it.

Organizers

Name Affiliation
Roland Donninger University of Vienna
David Fajman University of Vienna
Birgit Schörkhuber University of Innsbruck

Attendees

Name Affiliation
Patricia Alonso Ruiz Texas A & M University
Selim Amar Stanford University
Lars Andersson Beijing Institute of Mathematical Sciences and Applications (BIMSA), www.bimsa.cn
Håkan Andréasson Chalmers University of Technology
Ovidiu-Neculai Avadanei University of California, Berkeley
Valeria Banica Sorbonne University
Louie Bernhardt University of Melbourne
Piotr Bizón Jagiellonian University
Adam Black Yale University
Andras Bonk University of Vienna
Volker Branding University of Vienna
Allison Byars University of Wisconsin Madison
Ambre Chabert École Normale Supérieure
Gong Chen Georgia Institute of Technology
Piotr T. Chruściel University of Vienna
Charles Collot CY Cergy Paris University
Raphaël Côte Institut de Recherche Mathématique Avancée
Piero D'Ancona Sapienza – Università di Roma
Benjamin Dodson Johns Hopkins University
Thomas Duyckaerts University Paris-Nord
Florian Ecker Technical University of Vienna
Filip Ficek University of Vienna
Patrick Gerard Université Paris-Saclay
Pierre Germain Imperial College London
Irfan Glogić University of Vienna
Carsten Gundlach University of Southampton
Susana Gutierrez University of Birmingham
Mahdi Haghshenas Imperial College London
Susanna Haziot Brown University
Sebastian Herr Universität Bielefeld
James Hogan University of California, Los Angeles
Mihaela Ifrim University of Wisconsin-Madison
Alexandru Ionescu Princeton University
Oana Ivanovici CNRS
Istvan Kadar University of Cambridge
Christoph Kehle ETH Zürich
Rowan Killip University of California, Los Angeles
Christian Klein University of Burgundy
Herbert Koch Universität Bonn
Michal Kowalczyk Universidad de Chile
Matthew Kowalski University of California, Los Angeles
Joachim Krieger EPFL, Lausanne
Klaus Kröncke KTH Stockholm
Michael Kunzinger University of Vienna
Antoine Lardot Ecole Polytechnique, Palaiseau
Kiyeon Lee Korea Advanced Institute of Science & Technology
Philippe G. LeFloch Sorbonne University
Enno Lenzmann University of Basel
Warren Li Princeton University
Hans Lindblad Johns Hopkins University
Ethan Lu Stanford University
Jonas Lührmann Texas A & M University
Jonathan Luk Stanford University
Driss Maitrejean École Normale Supérieure
Cyril Malézé Ecole Polytechnique, Palaiseau
Maciej Maliborski University of Vienna
Ryan Martinez University of California, Berkeley
Michael McNulty Michigan State University
Jakob Möller University of Vienna
Vincent Moncrief Yale University
Frederick Moscatelli University of Vienna
Claudio Munoz Universidad de Chile
Kenji Nakanishi Kyoto University
Maximilian Ofner University of Vienna
Sung-Jin Oh University of California, Berkeley
Tadahiro Oh University of Edinburgh
Matthias Ostermann University of Vienna
Benoit Pausader Brown University
Didier Pilod University of Bergen
Hans Ringström KTH Stockholm
Paola Rioseco Universidad de Chile
Clemens Sämann University of Oxford
Akansha Sanwal University of Innsbruck
Wilhelm Schlag Yale University
Volker Schlue University of Melbourne
Tobias Schmid EPFL, Lausanne
Sohrab Shahshahani University of Massachusetts Amherst
Jacques Smulevici Sorbonne University
Marko Sobak University of Vienna
Avy Soffer Rutgers University
Martin Spitz Bielefeld University
Roland Steinbauer University of Vienna
Jérémie Szeftel Sorbonne University
Mónica Tapia del Moral University of Cambridge
Daniel Tataru University of California, Berkeley
Liam Urban University of Vienna
Juan A. Valiente Kroon Queen Mary University of London
Andras Vasy Stanford University
Luis Vega Basque Center for Applied Mathematics & U del Pais Vasco
Monica Visan University of California, Los Angeles
David Wallauch-Hajdin University of Vienna
Klaus Widmayer University of Zurich & University of Vienna
Alexander Wittenstein Karlsruhe Institute of Technology
Michał Wrochna Utrecht University
Bowen Zhao Beijing Institute of Mathematical Sciences and Applications (BIMSA), www.bimsa.cn
Preview of Håkan Andréasson - Oppenheimer-Snyder type collapse for the Einstein-Vlasov system
Håkan Andréasson (Chalmers U of Technology, Gothenburg): Oppenheimer-Snyder type collapse for the Einstein-Vlasov system
May 7, 2024 11:15 — 12:15
Preview of Mihaela Ifrim - Modified scattering for the three dimensional Maxwell-Dirac system
Mihaela Ifrim (U of Wisconsin-Madison): Modified scattering for the three dimensional Maxwell-Dirac system
May 13, 2024 14:00 — 15:00
Preview of Raphaël Côte - Perturbation at blow up of self similar solution for mKdV
Raphaël Côte (IRMA, Strasbourg): Perturbation at blow up of self similar solution for mKdV
May 14, 2024 11:15 — 12:15
Preview of Maximilian Ofner - Expansion thresholds for the stability of cosmological fluids
Maximilian Ofner (U of Vienna): Expansion thresholds for the stability of cosmological fluids
May 14, 2024 15:30 — 15:45
Preview of Michal Kowalczyk - Asymptotic stability of kinks in the odd energy space.
Michal Kowalczyk (U de Chile, Santiago): Asymptotic stability of kinks in the odd energy space.
May 15, 2024 09:15 — 10:15
Preview of Hans Lindblad - Scattering for wave equations with sources and slowly decaying data
Hans Lindblad (Johns Hopkins U, Baltimore): Scattering for wave equations with sources and slowly decaying data
May 16, 2024 11:15 — 12:15
Preview of Hans Ringström - Formation of quiescent big bang singularities
Hans Ringström (KTH Stockholm): Formation of quiescent big bang singularities
May 16, 2024 14:00 — 15:00
Preview of Christoph Kehle - Extremal Critical Collapse
Christoph Kehle (ETH Zurich): Extremal Critical Collapse
May 16, 2024 15:15 — 16:15
Preview of Philippe G. LeFloch - Optimal shielding for Einstein gravity
Philippe G. LeFloch (Sorbonne U, Paris): Optimal shielding for Einstein gravity
May 17, 2024 09:30 — 10:30
Preview of Michael McNulty - Stable blowup for the higher-dimensional Skyrme model
Michael McNulty (Michigan State U, East Lansing): Stable blowup for the higher-dimensional Skyrme model
May 28, 2024 11:00 — 12:00
Preview of Marko Sobak - Haunted Einstein-Yang-Mills wormholes
Marko Sobak (U of Vienna): Haunted Einstein-Yang-Mills wormholes
June 14, 2024 14:00 — 14:45
Preview of Alexander Wittenstein - Existence and stability of corotational wave maps into perturbed spheres
Alexander Wittenstein (KIT, Karlsruhe): Existence and stability of corotational wave maps into perturbed spheres
June 18, 2024 15:30 — 15:45
Preview of Jérémie Szeftel - The nonlinear stability of Kerr for small angular momentum
Jérémie Szeftel (Sorbonne U, Paris): The nonlinear stability of Kerr for small angular momentum
June 19, 2024 09:15 — 10:00
Preview of Benjamin Dodson - Global well-posedness and scattering for the conformal nonlinear wave equation
Benjamin Dodson (Johns Hopkins U, Baltimore): Global well-posedness and scattering for the conformal nonlinear wave equation
June 19, 2024 11:45 — 12:30
Preview of Volker Schlue - Scattering problems with homogeneous asymptotics
Volker Schlue (U Melbourne): Scattering problems with homogeneous asymptotics
June 19, 2024 15:00 — 15:45
Preview of Andras Vasy - Waves on Kerr-de Sitter space
Andras Vasy (Stanford U): Waves on Kerr-de Sitter space
June 20, 2024 09:15 — 10:00
Preview of Jonathan Luk - High frequency spacetimes in general relativity
Jonathan Luk (Stanford U): High frequency spacetimes in general relativity
June 20, 2024 10:30 — 11:15
At a glance
Type:
Thematic Programme
When:
April 29, 2024 — June 21, 2024
Where:
ESI Boltzmann Lecture Hall
Organizer(s):
Roland Donninger (U of Vienna)
David Fajman (U of Vienna)
Birgit Schörkhuber (U of Innsbruck)