• 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 ...
    • 1706c - Mini-Workshop: Perspectives in High-dimensional Probability and Convexity 

      [OWR-2017-10] Workshop Report 2017,10 (2017) - (05 Feb - 11 Feb 2017)
      Understanding the geometric structure of systems involving a huge amount of parameters is a central problem in mathematics and applied sciences today. Here, geometric and analytical ideas meet in a non-trivial way and ...
    • 1738b - Mini-Workshop: Positivity in Higher-dimensional Geometry: Higher-codimensional Cycles and Newton-Okounkov Bodies 

      [OWR-2017-43] Workshop Report 2017,43 (2017) - (17 Sep - 23 Sep 2017)
      There are several flavors of positivity in Algebraic Geometry. They range from conditions that determine vanishing of cohomology, to intersection theoretic properties, and to convex geometry. They offer excellent invariants ...
    • 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 ...
    • 1702b - Mini-Workshop: Spaces and Moduli Spaces of Riemannian Metrics 

      [OWR-2017-3] Workshop Report 2017,3 (2017) - (08 Jan - 14 Jan 2017)
      The mini-workshop focused on central questions and new results concerning spaces and moduli spaces of Riemannian metrics with lower or upper curvature bounds on open and closed manifolds and, moreover, related themes from ...
    • 1706b - Mini-Workshop: Stochastic Differential Equations: Regularity and Numerical Analysis in Finite and Infinite Dimensions 

      [OWR-2017-9] Workshop Report 2017,9 (2017) - (05 Feb - 11 Feb 2017)
      This Mini-Workshop is devoted to regularity and numerical analysis of stochastic ordinary and partial differential equations (SDEs for both). The standard assumption in the literature on SDEs is global Lipschitz continuity ...
    • 1702a - Mini-Workshop: Women in Mathematics: Historical and Modern Perspectives 

      [OWR-2017-2] Workshop Report 2017,2 (2017) - (08 Jan - 14 Jan 2017)
      The aim of the workshop is to build a bridge between research on the situation of women in mathematics at the beginning of coeducative studies and the current circumstances in academia. The issue of women in mathematics ...
    • 1713 - Multiscale and High-Dimensional Problems 

      [OWR-2017-17] Workshop Report 2017,17 (2017) - (26 Mar - 01 Apr 2017)
      High-dimensional problems appear naturally in various scientific areas. Two primary examples are PDEs describing complex processes in computational chemistry and physics, and stochastic/ parameter-dependent PDEs arising ...
    • 1750 - Network Models: Structure and Function 

      [OWR-2017-57] Workshop Report 2017,57 (2017) - (10 Dec - 16 Dec 2017)
      The focus of the meeting was on the mathematical analysis of complex networks, both on how networks emerge through microscopic interaction rules as well as on dynamic processes and optimization problems on networks, including ...
    • 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 ...
    • 1718 - O-Minimality and its Applications to Number Theory and Analysis 

      [OWR-2017-22] Workshop Report 2017,22 (2017) - (30 Apr - 06 May 2017)
      The workshop brought together researchers in the areas of o-minimal structures, analysis and number theory. The latest developments in o-minimality and their applications to number theory and analysis were presented in a ...
    • 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 ...
    • 1733 - Proof Complexity and Beyond 

      [OWR-2017-37] Workshop Report 2017,37 (2017) - (13 Aug - 19 Aug 2017)
      Proof complexity is a multi-disciplinary intellectual endeavor that addresses questions of the general form “how difficult is it to prove certain mathematical facts?” The current workshop focused on recent advances in our ...
    • 1725a - Reaction Networks and Population Dynamics 

      [OWR-2017-28] Workshop Report 2017,28 (2017) - (18 Jun - 24 Jun 2017)
      Reaction systems and population dynamics constitute two highly developed areas of research that build on well-defined model classes, both in terms of dynamical systems and stochastic processes. Despite a significant core ...
    • 1710 - Real Algebraic Geometry With a View Toward Moment Problems and Optimization 

      [OWR-2017-14] Workshop Report 2017,14 (2017) - (05 Mar - 11 Mar 2017)
      Continuing the tradition initiated in MFO workshop held in 2014, the aim of this workshop was to foster the interaction between real algebraic geometry, operator theory, optimization, and algorithms for systems control. A ...
    • 1730 - Real Analysis, Harmonic Analysis, and Applications 

      [OWR-2017-34] Workshop Report 2017,34 (2017) - (23 Jul - 29 Jul 2017)
      The workshop focused on important developments within the last few years in real and harmonic analysis, including polynomial partitioning and decoupling as well as significant concurrent progress in the application of these ...
    • 1748 - Reflection Positivity 

      [OWR-2017-55] Workshop Report 2017,55 (2017) - (26 Nov - 02 Dec 2017)
      The main theme of the workshop was reflection positivity and its occurences in various areas of mathematics and physics, such as Representation Theory, Quantum Field Theory, Noncommutative Geometry, Dynamical Systems, ...
    • 1708 - Representation Theory of Quivers and Finite Dimensional Algebras 

      [OWR-2017-12] Workshop Report 2017,12 (2017) - (19 Feb - 25 Feb 2017)
      Methods and results from the representation theory of quivers and finite dimensional algebras have led to many interactions with other areas of mathematics. Such areas include the theory of Lie algebras and quantum groups, ...
    • 1707 - Set Theory 

      [OWR-2017-11] Workshop Report 2017,11 (2017) - (12 Feb - 18 Feb 2017)
      This workshop included selected talks on pure set theory and its applications, simultaneously showing diversity and coherence of the subject.