• 1709 - Mathematics of Quantitative Finance 

      [OWR-2017-13] Workshop Report 2017,13 (2017) - (26 Feb - 04 Mar 2017)
      The workshop on Mathematics of Quantitative Finance, organised at the Mathematisches Forschungsinstitut Oberwolfach from 26 February to 4 March 2017, focused on cutting edge areas of mathematical finance, with an emphasis ...
    • 1702c - Mini-Workshop: Adaptive Methods for Control Problems Constrained by Time-Dependent PDEs 

      [OWR-2017-4] Workshop Report 2017,4 (2017) - (08 Jan - 14 Jan 2017)
      Optimization problems constrained by time-dependent PDEs (Partial Differential Equations) are challenging from a computational point of view: even in the simplest case, one needs to solve a system of PDEs coupled globally ...
    • 1706a - Mini-Workshop: Cluster Expansions: From Combinatorics to Analysis through Probability 

      [OWR-2017-8] Workshop Report 2017,8 (2017) - (05 Feb - 11 Feb 2017)
      The workshop addressed the interplay between theory and applications of cluster expansions. These expansions, historically geared towards the study of systems in statistical mechanics, thermodynamics, and physical chemistry, ...
    • 1743c - Mini-Workshop: Interactions between Low-dimensional Topology and Complex Algebraic Geometry 

      [OWR-2017-50] Workshop Report 2017,50 (2017) - (22 Oct - 28 Oct 2017)
      Recent developments exhibit a strong connection between low-dimensional topology and complex algebraic geometry. A common theme is provided by the Alexander polynomial and its many avatars. The mini-Workshop brought together ...
    • 1738c - Mini-Workshop: Lattice Polytopes: Methods, Advances, Applications 

      [OWR-2017-44] Workshop Report 2017,44 (2017) - (17 Sep - 23 Sep 2017)
      Lattice polytopes arise naturally in many different branches of pure and applied mathematics such as number theory, commutative algebra, combinatorics, toric geometry, optimization, and mirror symmetry. The miniworkshop ...
    • 1738a - Mini-Workshop: MASAs and Automorphisms of C*-Algebras 

      [OWR-2017-42] Workshop Report 2017,42 (2017) - (17 Sep - 23 Sep 2017)
      The main aim of this workshop was to study maximal abelian *-subalgebras of C*-algebras from various points of view. A chief motivation is the UCT problem, which asks whether all separable nuclear C*-algebras satisfy the ...
    • 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 ...