• 1920 - Geometry and Physics of Higgs Bundles 

      [OWR-2019-23] Workshop Report 2019,23 (2019) - (12 May - 18 May 2019)
      This workshop focused on interactions between the various perspectives on the moduli space of Higgs bundles over a Riemann surface. This subject draws on algebraic geometry, geometric topology, geometric analysis and ...
    • 1925a - Logarithmic Enumerative Geometry and Mirror Symmetry 

      [OWR-2019-27] Workshop Report 2019,27 (2019) - (16 Jun - 22 Jun 2019)
      The new field of log enumerative geometry has formed at the crossroads of mirror symmetry, Gromov-Witten theory and log geometry. This workshop has been the first to promote this field and bring together the junior and ...
    • 1917 - Mathematical Methods in Quantum Molecular Dynamics 

      [OWR-2019-20] Workshop Report 2019,20 (2019) - (21 Apr - 27 Apr 2019)
      The workshop on "Mathematical Methods in Quantum Molecular Dynamics" has brought together chemists, mathematicians, and physicists developing new mathematical methods for studying the motion of atoms in molecules and in ...
    • 1927 - Differentialgeometrie im Grossen 

      [OWR-2019-30] Workshop Report 2019,30 (2019) - (30 Jun - 05 Jul 2019)
      The topics discussed at the meeting reflected current trends in global differential geometry. These topics included complex geometry, Einstein metrics, geometric flows, metric geometry and manifolds satisfying curvature bounds.
    • 1919 - Statistical and Computational Aspects of Learning with Complex Structure 

      [OWR-2019-22] Workshop Report 2019,22 (2019) - (05 May - 11 May 2019)
      The recent explosion of data that is routinely collected has led scientists to contemplate more and more sophisticated structural assumptions. Understanding how to harness and exploit such structure is key to improving the ...
    • 1926 - Algebraic K-theory 

      [OWR-2019-29] Workshop Report 2019,29 (2019) - (23 Jun - 29 Jun 2019)
      Algebraic $K$-theory has seen a fruitful development during the last three years. Part of this recent progress was driven by the use of $\infty$-categories and related techniques originally developed in algebraic ...
    • 1915a - Mini-Workshop: Recent Progress in Path Integration on Graphs and Manifolds 

      [OWR-2019-16] Workshop Report 2019,16 (2019) - (07 Apr - 13 Apr 2019)
      Ever since Richard Feynman's PhD thesis, path integrals have played a decisive role in mathematical physics. While it is well-known that such formulae can hold only formally, it was Mark Kac who realized that by replacing ...
    • 1915c - Mini-Workshop: Mathematics of Crystallisation 

      [OWR-2019-18] Workshop Report 2019,18 (2019) - (07 Apr - 13 Apr 2019)
      Crystallisation, by which we mean the formation of solids precipitating from a solution, is the central theme of the present mini-workshop. Participants discussed different approaches towards a rigorous mathematical ...
    • 1915b - Mini-Workshop: Reflection Groups in Negative Curvature 

      [OWR-2019-17] Workshop Report 2019,17 (2019) - (07 Apr - 13 Apr 2019)
      Discrete groups generated by reflections constitute an important source of examples of lattices in simple Lie groups of real rank $1$ (whose associated symmetric spaces are negatively curved). Yet a classification for ...
    • 1935 - Geometric, Algebraic, and Topological Combinatorics 

      [OWR-2019-39] Workshop Report 2019,39 (2019) - (25 Aug - 31 Aug 2019)
      The 2019 Oberwolfach meeting "Geometric, Algebraic and Topological Combinatorics" was organized by Gil Kalai (Jerusalem), Isabella Novik (Seattle), Francisco Santos (Santander), and Volkmar Welker (Marburg). It covered a ...
    • 1931 - Computational Multiscale Methods 

      [OWR-2019-35] Workshop Report 2019,35 (2019) - (28 Jul - 03 Aug 2019)
      Many physical processes in material sciences or geophysics are characterized by inherently complex interactions across a large range of non-separable scales in space and time. The resolution of all features on all scales ...
    • 1933 - C*-Algebras 

      [OWR-2019-37] Workshop Report 2019,37 (2019) - (11 Aug - 17 Aug 2019)
      The subject of Operator Algebras is a flourishing broad area of mathematics which has strong ties to many other areas in mathematics including Functional/Harmonic Analysis, Topology, (non-commutative) Geometry, Geometric ...
    • 1932 - Homotopy Theory 

      [OWR-2019-36] Workshop Report 2019,36 (2019) - (04 Aug - 10 Aug 2019)
      The workshop "Homotopy Theory" was organized by Jesper Grodal (Copenhagen), Michael Hill (Los Angeles), and Birgit Richter (Hamburg). It covered a wide variety of topics in homotopy theory, from foundational questions to ...
    • 1938 - Large Scale Stochastic Dynamics 

      [OWR-2019-42] Workshop Report 2019,42 (2019) - (15 Sep - 21 Sep 2019)
      The goal of this workshop was to explore the recent advances in the mathematical understanding of the macroscopic properties which emerge on large space-time scales from interacting microscopic particle systems. There ...
    • 1936 - Innovative Approaches to the Numerical Approximation of PDEs 

      [OWR-2019-40] Workshop Report 2019,40 (2019) - (01 Sep - 07 Sep 2019)
      This workshop was about the numerical solution of PDEs for which classical approaches, such as the finite element method, are not well suited or need further (theoretical) underpinnings. A prominent example of PDEs for ...
    • 1937 - Many-Body Quantum Systems 

      [OWR-2019-41] Workshop Report 2019,41 (2019) - (08 Sep - 14 Sep 2019)
      The interaction among fundamental particles in nature leads to many interesting effects in quantum statistical mechanics; examples include superconductivity for charged systems and superfluidity in cold gases. It is a huge ...
    • 1930 - Partial Differential Equations 

      [OWR-2019-34] Workshop Report 2019,34 (2019) - (21 Jul - 27 Jul 2019)
      The workshop dealt with nonlinear partial differential equations and some applications in geometry, touching several different topics such as geometric flows, minimal surfaces, semi-linear equations and calculus of variations.
    • 1928 - Dynamische Systeme 

      [OWR-2019-31] Workshop Report 2019,31 (2019)
      This workshop continued the biannual series at Oberwolfach on Dynamical Systems that started as the ``Moser-Zehnder meeting'' in 1981. The main themes of the workshop are the new results and developments in the area of ...
    • 1929a - Mathematical Theory of Water Waves 

      [OWR-2019-32] Workshop Report 2019,32 (2019) - (14 Jul - 20 Jul 2019)
      Water waves, that is waves on the surface of a fluid (or the interface between different fluids) are omnipresent phenomena. However, as Feynman wrote in his lecture, water waves that are easily seen by everyone, and which ...
    • 1934 - Mathematical Aspects of Hydrodynamics 

      [OWR-2019-38] Workshop Report 2019,38 (2019) - (18 Aug - 24 Aug 2019)
      The workshop dealt with the partial differential equations that describe fluid motion and related topics. These topics included both inviscid and viscous fluids in two and three dimensions. Some talks addressed aspects ...