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.
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
11:00 — 12:00
Gong Chen (GATECH, Atlanta)
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.
(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
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
Daniel Tataru (UC, Berkeley)
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
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
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
May 14, 2024
10:00 — 11:00
Herbert Koch (Uni Bonn)
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
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
15:15 — 15:30
Allison Byars (U. Wisconsin)
Global Dynamics of the 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
15:45 — 16:00
Matthias Ostermann (U of Vienna)
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
16:30 — 16:45
Matthew Kowalski (UCLA)
Dispersive decay for the energy-critical nonlinear Schrödinger equation
May 15, 2024
09:15 — 10:15
Michal Kowalczyk (U de Chile, Santiago)
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
12:45 — 14:15
Lunch Break
14:15 — 15:15
Arthur Touati
Initial data for stability theorems in general relativity
18:30 — 22:00
Conference Dinner
May 16, 2024
10:00 — 11:00
Sohrab Shahshahani (UMass Amherst)
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
12:15 — 14:00
Lunch Break
14:00 — 15:00
Hans Ringström (KTH Stockholm)
Formation of quiescent big bang singularities
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