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
May 8, 2024
May 13, 2024
May 14, 2024
May 15, 2024
May 16, 2024
May 17, 2024
May 21, 2024
May 22, 2024
May 23, 2024
May 28, 2024
June 12, 2024
June 14, 2024
June 17, 2024
June 18, 2024
June 19, 2024
June 20, 2024
June 21, 2024
11:15 — 12:15
Håkan Andréasson (Chalmers U of Technology, Gothenburg)
Oppenheimer-Snyder type collapse for the Einstein-Vlasov system
Oppenheimer-Snyder type collapse for the Einstein-Vlasov system
11:00 — 12:00
Gong Chen (GATECH, Atlanta)
Dynamics of multi-soliton solutions to Klein-Gordon equations
Dynamics of multi-soliton solutions to Klein-Gordon equations
13:45 — 14:45
Sven Hirsch (IAS, Princeton)
Initial data sets with vanishing mass are contained in pp-waves.
Initial data sets with vanishing mass are contained in pp-waves.
(via Zoom, Meeting ID: 654 003 6841 Passcode: Gs4brS )
15:15 — 16:15
Patrick Gerard (U Paris-Saclay)
An explicit formula for the Benjamin-Ono equation and applications
An explicit formula for the Benjamin-Ono equation and applications
Mathematics Colloquium, Sky Lounge, Oskar-Morgenstern-Platz 1, 1090 Vienna
09:00 — 09:45
Registration
09:45 — 10:00
Welcome
10:00 — 11:00
Daniel Tataru (UC, Berkeley)
Global solutions for quasilinear Schroedinger flows
Global solutions for quasilinear Schroedinger flows
11:00 — 11:15
Coffee Break
11:15 — 12:15
Sebastian Herr (Uni Bielefeld)
Strichartz estimates and global well-posedness of the cubic NLS on the 2d torus
Strichartz estimates and global well-posedness of the cubic NLS on the 2d torus
12:15 — 14:00
Lunch Break
14:00 — 15:00
Mihaela Ifrim (U of Wisconsin-Madison)
Modified scattering for the three dimensional Maxwell-Dirac system
Modified scattering for the three dimensional Maxwell-Dirac system
15:00 — 15:15
Coffee Break
15:15 — 16:15
Didier Pilod (U of Bergen)
Finite point blowup for the critical generalized Korteweg-de Vries equation
Finite point blowup for the critical generalized Korteweg-de Vries equation
10:00 — 11:00
Herbert Koch (Uni Bonn)
The Korteweg-de Vries hierarchy in rough function spaces
The Korteweg-de Vries hierarchy in rough function spaces
11:00 — 11:15
Coffee Break
11:15 — 12:15
Raphaël Côte (IRMA, Strasbourg)
Perturbation at blow up of self similar solution for mKdV
Perturbation at blow up of self similar solution for mKdV
12:15 — 14:00
Lunch Break
14:00 — 15:00
Pierre Germain (Imperial College London)
Nonlinear waves and turbulence
Nonlinear waves and turbulence
15:00 — 15:15
Coffee Break
15:15 — 15:30
Allison Byars (U of Wisconsin)
Global Dynamics of small data solutions to the Derivative Nonlinear Schr\”odinger Equation
Global Dynamics of small data solutions to the Derivative Nonlinear Schr\”odinger Equation
15:30 — 15:45
Maximilian Ofner (U of Vienna)
Expansion thresholds for the stability of cosmological fluids
Expansion thresholds for the stability of cosmological fluids
15:45 — 16:00
Matthias Ostermann (U of Vienna)
Stable self-similar blowup for nonlinear wave equations beyond light cones
Stable self-similar blowup for nonlinear wave equations beyond light cones
16:00 — 16:15
Coffee Break
16:15 — 16:30
Ovidiu-Neculai Avadanei (UC, Berkeley)
Low regularity well-posedness for the generalized surface quasi-geostrophic front equation
Low regularity well-posedness for the generalized surface quasi-geostrophic front equation
16:30 — 16:45
Matthew Kowalski (UCLA)
Dispersive decay for the energy-critical nonlinear Schrödinger equation
Dispersive decay for the energy-critical nonlinear Schrödinger equation
16:45 — 17:00
Liam Urban (U of Vienna)
On the past maximal development of near-FLRW data for the Einstein scalar-field Vlasov system
On the past maximal development of near-FLRW data for the Einstein scalar-field Vlasov system
09:15 — 10:15
Michal Kowalczyk (U de Chile, Santiago)
Asymptotic stability of kinks in the odd energy space.
Asymptotic stability of kinks in the odd energy space.
10:15 — 10:30
Coffee Break
10:30 — 11:30
11:30 — 11:45
Coffee Break
11:45 — 12:45
Sung-Jin Oh (UC, Berkeley)
Late time tail of waves on dynamic asymptotically flat spacetimes of odd space dimensions
Late time tail of waves on dynamic asymptotically flat spacetimes of odd space dimensions
12:45 — 14:15
Lunch Break
14:15 — 15:15
Arthur Touati (École Polytechnique, Palaiseau)
Initial data for stability theorems in general relativity
Initial data for stability theorems in general relativity
18:30 — 22:00
Conference Dinner
10:00 — 11:00
Sohrab Shahshahani (UMass Amherst)
Codimension one stability of the catenoid for the hyperbolic vanishing mean curvature equation
Codimension one stability of the catenoid for the hyperbolic vanishing mean curvature equation
11:00 — 11:15
Coffee Break
11:15 — 12:15
Hans Lindblad (Johns Hopkins U, Baltimore)
Scattering for wave equations with sources and slowly decaying data
Scattering for wave equations with sources and slowly decaying data
12:15 — 14:00
Lunch Break
14:00 — 15:00
Hans Ringström (KTH Stockholm)
Formation of quiescent big bang singularities
Formation of quiescent big bang singularities
15:00 — 15:15
Coffee Break
15:15 — 16:15
Christoph Kehle (ETH Zurich)
Extremal Critical Collapse
Extremal Critical Collapse
09:30 — 10:30
Philippe G. LeFloch (Sorbonne U, Paris)
Optimal shielding for Einstein gravity
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
Periodic solutions for 1d nonlinear wave equation
09:30 — 11:15
Registration
Please note, this week the talks of the programme will take place in the Schrödinger Lecture Hall.
11:15 — 12:15
Irfan Glogić (U of Vienna)
Stable self-similar blowup for the Keller-Segel model in three dimensions
Stable self-similar blowup for the Keller-Segel model in three dimensions
14:00 — 15:00
Tobias Schmid (EPFL, Lausanne)
Blow up dynamics for the 3D energy-critical nonlinear Schrödinger equation
Blow up dynamics for the 3D energy-critical nonlinear Schrödinger equation
09:30 — 10:30
Luis Vega (BCAM & UPV/EHU, Bilbao)
Title: The binormal flow and the desingularization of the Biot-Savart integral.
Title: The binormal flow and the desingularization of the Biot-Savart integral.
14:15 — 15:15
Filip Ficek (U of Vienna)
Dynamics of conformal scalar field in asymptotically-AdS black hole spacetimes
Dynamics of conformal scalar field in asymptotically-AdS black hole spacetimes
10:00 — 11:00
Christian Klein (U of Burgundy, Dijon)
Numerical study of blow-up for solutions to nonlinear dispersive PDES
Numerical study of blow-up for solutions to nonlinear dispersive PDES
11:15 — 12:15
David Wallauch-Hajdin (U of Vienna)
Optimal blowup stability for wave maps
Optimal blowup stability for wave maps
11:00 — 12:00
Michael McNulty (Michigan State U, East Lansing)
Stable blowup for the higher-dimensional Skyrme model
Stable blowup for the higher-dimensional Skyrme model
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.
Singularity formation for a geometric wave equation.
Location: Skylounge, Oskar-Morgenstern-Platz 1, 1090 Wien
14:00 — 14:45
Marko Sobak (U of Vienna)
Haunted Einstein-Yang-Mills wormholes
Haunted Einstein-Yang-Mills wormholes
09:00 — 09:30
Registration
09:30 — 10:15
Piero D'Ancona (U Roma 1, Sapienza)
Dispersion estimates for Dirac equations with Aharonov–Bohm magnetic fields
Dispersion estimates for Dirac equations with Aharonov–Bohm magnetic fields
10:15 — 10:45
Coffee Break
10:45 — 11:30
Jonas Lührmann (TAMU, College Station)
Asymptotic stability of solitary waves for the 1D focusing cubic NLS under even perturbations
Asymptotic stability of solitary waves for the 1D focusing cubic NLS under even perturbations
11:30 — 12:00
Coffee Break
12:00 — 12:45
Claudio Munoz (U de Chile, Santiago)
Kink dynamics for the Yang-Mills field in an extremal Reissner-Nordström black hole
Kink dynamics for the Yang-Mills field in an extremal Reissner-Nordström black hole
09:15 — 10:00
Tadahiro Oh (U of Edinburgh)
Fourier restriction norm method adapted to controlled paths
Fourier restriction norm method adapted to controlled paths
10:00 — 10:30
Coffee Break
10:30 — 11:15
Avy Soffer (Rutgers U)
Scattering Theory of Linear and Nonlinear Waves: A Unified New Paradigm
Scattering Theory of Linear and Nonlinear Waves: A Unified New Paradigm
11:15 — 11:45
Coffee Break
11:45 — 12:30
Klaus Widmayer (U of Zurich & U of Vienna)
Landau damping around the Poisson equilibrium for the Vlasov-Poisson system
Landau damping around the Poisson equilibrium for the Vlasov-Poisson system
15:00 — 15:15
Ambre Chabert (ENS Paris)
Weakly turbulent solution to the Schrödinger equation on the 2D torus with potential
Weakly turbulent solution to the Schrödinger equation on the 2D torus with potential
15:15 — 15:30
Ryan Martinez (UC, Berkeley)
The Modified Energy Method for a Nonlocal Quasilinear Wave Equation
The Modified Energy Method for a Nonlocal Quasilinear Wave Equation
15:30 — 15:45
Alexander Wittenstein (KIT, Karlsruhe)
Existence and stability of corotational wave maps into perturbed spheres
Existence and stability of corotational wave maps into perturbed spheres
09:15 — 10:00
Jérémie Szeftel (Sorbonne U, Paris)
The nonlinear stability of Kerr for small angular momentum
The nonlinear stability of Kerr for small angular momentum
10:00 — 10:30
Coffee Break
10:30 — 11:15
Alexandru Ionescu (Princeton U)
On the stability of homogeneous equilibria of the Vlasov-Poisson system
On the stability of homogeneous equilibria of the Vlasov-Poisson system
11:15 — 11:45
Coffee Break
11:45 — 12:30
Benjamin Dodson (Johns Hopkins U, Baltimore)
Global well-posedness and scattering for the conformal nonlinear wave equation
Global well-posedness and scattering for the conformal nonlinear wave equation
15:00 — 15:45
Volker Schlue (U Melbourne)
Scattering problems with homogeneous asymptotics
Scattering problems with homogeneous asymptotics
18:30 — 22:00
Conference Dinner at Feuerwehr-Wagner
09:15 — 10:00
Andras Vasy (Stanford U)
Waves on Kerr-de Sitter space
Waves on Kerr-de Sitter space
10:00 — 10:30
Coffee Break
10:30 — 11:15
Jonathan Luk (Stanford U)
High frequency spacetimes in general relativity
High frequency spacetimes in general relativity
11:15 — 11:45
Coffee Break
11:45 — 12:30
Michał Wrochna (Utrecht U)
Feynman problems for the Klein-Gordon and wave equation
Feynman problems for the Klein-Gordon and wave equation
15:00 — 15:15
Mahdi Haghshenas (Imperial College London)
The effect of expansion and dispersion on waves in FLRW spacetimes with decelerated expansion
The effect of expansion and dispersion on waves in FLRW spacetimes with decelerated expansion
15:15 — 15:30
Warren Li (Princeton U)
Scattering towards the spacelike singularity in Kasner spacetimes
Scattering towards the spacelike singularity in Kasner spacetimes
15:30 — 15:45
Istvan Kadar (U of Cambridge)
Construction of multi-soliton solutions for semilinear equations in dimension 3
Construction of multi-soliton solutions for semilinear equations in dimension 3
09:15 — 10:00
Susanna Haziot (Brown U, Providence)
Desingularization and long-term dynamics of solutions to fluid models
Desingularization and long-term dynamics of solutions to fluid models
10:00 — 10:30
Coffee Break
10:30 — 11:15
Klaus Kröncke (KTH Stockholm)
A volume-renormalized mass for asymptotically hyperbolic manifolds
A volume-renormalized mass for asymptotically hyperbolic manifolds
11:15 — 12:00
Benoit Pausader (Brown U, Providence)
Landau damping/Surfing ducklings
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 |
Håkan Andréasson (Chalmers U of Technology, Gothenburg): Oppenheimer-Snyder type collapse for the Einstein-Vlasov system
May 7, 2024 11:15 — 12:15
May 7, 2024 11:15 — 12:15
Gong Chen (GATECH, Atlanta): Dynamics of multi-soliton solutions to Klein-Gordon equations
May 8, 2024 11:00 — 12:00
May 8, 2024 11:00 — 12:00
Mihaela Ifrim (U of Wisconsin-Madison): Modified scattering for the three dimensional Maxwell-Dirac system
May 13, 2024 14:00 — 15:00
May 13, 2024 14:00 — 15:00
Didier Pilod (U of Bergen): Finite point blowup for the critical generalized Korteweg-de Vries equation
May 13, 2024 15:15 — 16:15
May 13, 2024 15:15 — 16:15
Herbert Koch (Uni Bonn): The Korteweg-de Vries hierarchy in rough function spaces
May 14, 2024 10:00 — 11:00
May 14, 2024 10:00 — 11:00
Raphaël Côte (IRMA, Strasbourg): Perturbation at blow up of self similar solution for mKdV
May 14, 2024 11:15 — 12:15
May 14, 2024 11:15 — 12:15
Maximilian Ofner (U of Vienna): Expansion thresholds for the stability of cosmological fluids
May 14, 2024 15:30 — 15:45
May 14, 2024 15:30 — 15:45
Matthias Ostermann (U of Vienna): Stable self-similar blowup for nonlinear wave equations beyond light cones
May 14, 2024 15:45 — 16:00
May 14, 2024 15:45 — 16:00
Ovidiu-Neculai Avadanei (UC, Berkeley): Low regularity well-posedness for the generalized surface quasi-geostrophic front equation
May 14, 2024 16:15 — 16:30
May 14, 2024 16:15 — 16:30
Liam Urban (U of Vienna): On the past maximal development of near-FLRW data for the Einstein scalar-field Vlasov system
May 14, 2024 16:45 — 17:00
May 14, 2024 16:45 — 17:00
Michal Kowalczyk (U de Chile, Santiago): Asymptotic stability of kinks in the odd energy space.
May 15, 2024 09:15 — 10:15
May 15, 2024 09:15 — 10:15
Kenji Nakanishi (Kyoto U): Initial classification of global behavior around multi-solitons for the nonlinear Klein-Gordon equation
May 15, 2024 10:30 — 11:30
May 15, 2024 10:30 — 11:30
Sung-Jin Oh (UC, Berkeley): Late time tail of waves on dynamic asymptotically flat spacetimes of odd space dimensions
May 15, 2024 11:45 — 12:45
May 15, 2024 11:45 — 12:45
Hans Lindblad (Johns Hopkins U, Baltimore): Scattering for wave equations with sources and slowly decaying data
May 16, 2024 11:15 — 12:15
May 16, 2024 11:15 — 12:15
Hans Ringström (KTH Stockholm): Formation of quiescent big bang singularities
May 16, 2024 14:00 — 15:00
May 16, 2024 14:00 — 15:00
Philippe G. LeFloch (Sorbonne U, Paris): Optimal shielding for Einstein gravity
May 17, 2024 09:30 — 10:30
May 17, 2024 09:30 — 10:30
Michael McNulty (Michigan State U, East Lansing): Stable blowup for the higher-dimensional Skyrme model
May 28, 2024 11:00 — 12:00
May 28, 2024 11:00 — 12:00
Piero D'Ancona (U Roma 1, Sapienza): Dispersion estimates for Dirac equations with Aharonov–Bohm magnetic fields
June 17, 2024 09:30 — 10:15
June 17, 2024 09:30 — 10:15
Claudio Munoz (U de Chile, Santiago): Kink dynamics for the Yang-Mills field in an extremal Reissner-Nordström black hole
June 17, 2024 12:00 — 12:45
June 17, 2024 12:00 — 12:45
Avy Soffer (Rutgers U): Scattering Theory of Linear and Nonlinear Waves: A Unified New Paradigm
June 18, 2024 10:30 — 11:15
June 18, 2024 10:30 — 11:15
Ambre Chabert (ENS Paris): Weakly turbulent solution to the Schrödinger equation on the 2D torus with potential
June 18, 2024 15:00 — 15:15
June 18, 2024 15:00 — 15:15
Ryan Martinez (UC, Berkeley): The Modified Energy Method for a Nonlocal Quasilinear Wave Equation
June 18, 2024 15:15 — 15:30
June 18, 2024 15:15 — 15:30
Alexander Wittenstein (KIT, Karlsruhe): Existence and stability of corotational wave maps into perturbed spheres
June 18, 2024 15:30 — 15:45
June 18, 2024 15:30 — 15:45
Jérémie Szeftel (Sorbonne U, Paris): The nonlinear stability of Kerr for small angular momentum
June 19, 2024 09:15 — 10:00
June 19, 2024 09:15 — 10:00
Benjamin Dodson (Johns Hopkins U, Baltimore): Global well-posedness and scattering for the conformal nonlinear wave equation
June 19, 2024 11:45 — 12:30
June 19, 2024 11:45 — 12:30
Volker Schlue (U Melbourne): Scattering problems with homogeneous asymptotics
June 19, 2024 15:00 — 15:45
June 19, 2024 15:00 — 15:45
Jonathan Luk (Stanford U): High frequency spacetimes in general relativity
June 20, 2024 10:30 — 11:15
June 20, 2024 10:30 — 11:15
Warren Li (Princeton U): Scattering towards the spacelike singularity in Kasner spacetimes
June 20, 2024 15:15 — 15:30
June 20, 2024 15:15 — 15:30
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)