• 1732 - Analysis, Geometry and Topology of Positive Scalar Curvature Metrics 

      [OWR-2017-36] Workshop Report 2017,36 (2017) - (06 Aug - 12 Aug 2017)
      Riemannian manifolds with positive scalar curvature play an important role in mathematics and general relativity. Obstruction and existence results are connected to index theory, bordism theory and homotopy theory, using ...
    • 1705 - Applications of Optimal Transportation in the Natural Sciences 

      [OWR-2017-7] Workshop Report 2017,7 (2017) - (29 Jan - 04 Feb 2017)
      The aim of this workshop was to gather a mixed group of experts and young researchers from different areas of applied mathematics in which optimal transport plays a central role. Applications in one of the classical areas ...
    • 1749 - Classical and Quantum Mechanical Models of Many-Particle Systems 

      [OWR-2017-56] Workshop Report 2017,56 (2017) - (03 Dec - 09 Dec 2017)
      This workshop was dedicated to the presentation of recent results in the field of the mathematical study of kinetic theory and its naturalextensions (statistical physics and fluid mechanics). The main models are the ...
    • 1720 - Computational Inverse Problems for Partial Differential Equations 

      [OWR-2017-24] Workshop Report 2017,24 (2017) - (14 May - 20 May 2017)
      The problem of determining unknown quantities in a PDE from measurements of (part of) the solution to this PDE arises in a wide range of applications in science, technology, medicine, and finance. The unknown quantity may ...
    • 1704 - Emerging Developments in Interfaces and Free Boundaries 

      [OWR-2017-6] Workshop Report 2017,6 (2017) - (22 Jan - 28 Jan 2017)
      The field of the mathematical and numerical analysis of systems of nonlinear partial differential equations involving interfaces and free boundaries is a well established and flourishing area of research. This workshop ...
    • 1719 - Geophysical Fluid Dynamics 

      [OWR-2017-23] Workshop Report 2017,23 (2017) - (07 May - 13 May 2017)
      The workshop “Geophysical Fluid Dynamics” addressed recent advances in analytical, stochastic, modeling and computational studies of geophysical fluid models. Of central interest were the reduced geophysical models, that ...
    • 1743a - Mini-Workshop: PDE Models of Motility and Invasion in Active Biosystems 

      [OWR-2017-48] Workshop Report 2017,48 (2017) - (22 Oct - 28 Oct 2017)
      Cell migration is crucial for the development and functioning of multicellular organisms; it plays an essential role in, e.g., morphogenesis, immune system dynamics, wound healing, angiogenesis, bacterial motion and biofilm ...
    • 1743b - Mini-Workshop: Reflectionless Operators: The Deift and Simon Conjectures 

      [OWR-2017-49] Workshop Report 2017,49 (2017) - (22 Oct - 28 Oct 2017)
      Reflectionless operators in one dimension are particularly amenable to inverse scattering and are intimately related to integrable systems like KdV and Toda. Recent work has indicated a strong (but not equivalent) relationship ...
    • 1725b - Nonlinear Partial Differential Equations on Graphs 

      [OWR-2017-29] Workshop Report 2017,29 (2017) - (18 Jun - 24 Jun 2017)
      One-dimensional metric graphs in two and three-dimensional spaces play an important role in emerging areas of modern science such as nano-technology, quantum physics, and biological networks. The workshop focused on the ...
    • 1724 - Nonlinear Waves and Dispersive Equations 

      [OWR-2017-27] Workshop Report 2017,27 (2017) - (11 Jun - 17 Jun 2017)
      Nonlinear dispersive equations are models for nonlinear waves in a wide range of physical contexts. Mathematically they display an interplay between linear dispersion and nonlinear interactions, which can result in a wide ...
    • 1731 - Partial Differential Equations 

      [OWR-2017-35] Workshop Report 2017,35 (2017) - (30 Jul - 05 Aug 2017)
      The workshop dealt with nonlinear partial differential equations and some applications in geometry, touching several different topics such as minimal surfaces and geometric measure theory, conformal geometry, geometric ...
    • 1746 - Variational Methods for Evolution 

      [OWR-2017-54] Workshop Report 2017,54 (2017) - (12 Nov - 18 Nov 2017)
      Many evolutionary systems, as for example gradient flows or Hamiltonian systems, can be formulated in terms of variational principles or can be approximated using time-incremental minimization. Hence they can be studied ...