September 4 - 8, 2017

Lipschitz-Saal, Endenicher Allee 60

Organizer: Herbert Koch (Bonn)

Description:

Nonlinear dispersive equations are models for nonlinear waves in a wide range of physical contexts. They display an interplay between linear dispersion and nonlinear interactions, which can result in a wide range of outcomes from finite time blow-up to solitons and scattering. They are linked to many areas of mathematics and physics, ranging from integrable systems and harmonic analysis to fluid dynamics, geometry and general relativity, probabilities.

This Hausdorff school is intended for motivated graduate and postdoctoral students who want to get acquainted with the recent developments in this field. There will be three mini-courses and several invited lectures by other experts in the field.

Lecture Series by: 

• Piotr Bizon (Uniwersytet Jagiellonski)
  
  • Global dynamics of nonlinear waves
• Yvan Martel (École Polytechnique)
  • Strongly interacting solitons for NLS
• Hiro Oh (The University of Edinburgh)
  • Stochastic dispersive dynamics
• Timothy Candy
  
  • Bilinear Restriction Estimates for General Phases
• Masahiro Ikeda
  • Global dynamics below the ground state for the semilinear Schrödinger equations with a linear potential
• Xian Liao
  • Conserved energies for the one dimensional Gross-Pitaevskii equation
• Dimitrios Roxanas
  • Long-time dynamics of solutions to the focusing energy-critical heat equation