• 1922 - Foundations and New Horizons for Causal Inference 

      [OWR-2019-25] Workshop Report 2019,25 (2019) - (26 May - 01 Jun 2019)
      While causal inference is established in some disciplines such as econometrics and biostatistics, it is only starting to emerge as a valuable tool in areas such as machine learning and artificial intelligence. The ...
    • 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 ...
    • 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 ...
    • 1902 - Graph Theory 

      [OWR-2019-1] Workshop Report 2019,1 (2019)
      Graph theory is a rapidly developing area of mathematics. Recent years have seen the development of deep theories, and the increasing importance of methods from other parts of mathematics. The workshop on Graph Theory ...
    • 1949 - Groups, Dynamics, and Approximation 

      [OWR-2019-55] Workshop Report 2019,55 (2019) - (01 Dec - 07 Dec 2019)
      The workshop covered a wide range of topics, with emphasis on Geometric Group Theory, Ergodic Theory and links with Functional Analysis on the one hand and Mathematical Logic on the other. The goal of the workshop was to ...
    • 1947 - Heat Kernels, Stochastic Processes and Functional Inequalities 

      [OWR-2019-54] Workshop Report 2019,54 (2019) - (17 Nov - 23 Nov 2019)
      The aims of the 2019 workshop 'Heat Kernels, Stochastic Processes and Functional Inequalities' were: (a) to provide a forum to review recent progresses in a wide array of areas of analysis (elliptic, subelliptic and ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 1929b - Mathematical Foundations of Isogeometric Analysis 

      [OWR-2019-33] Workshop Report 2019,33 (2019) - (14 Jul - 20 Jul 2019)
      Isogeometric analysis is a recent technology for numerical simulation, unifying computer aided design and finite element analysis. It offers a true design-through-analysis pipeline by employing the same representation ...
    • 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 ...
    • 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 ...
    • 1946a - Mini-Workshop: Algebraic Tools for Solving the Yang–Baxter Equation 

      [OWR-2019-51] Workshop Report 2019,51 (2019) - (10 Nov - 16 Nov 2019)
      The workshop was focused on three facets of the interplay between set-theoretic solutions to the Yang--Baxter equation and classical algebraic structures (groups, monoids, algebras, lattices, racks etc.): structures used ...
    • 1910c - Mini-Workshop: Cohomology of Hopf Algebras and Tensor Categories 

      [OWR-2019-11] Workshop Report 2019,11 (2019) - (03 Mar - 09 Mar 2019)
      The mini-workshop featured some open questions about the cohomology of Hopf algebras and tensor categories. Questions included whether the cohomology ring of a finite dimensional Hopf algebra or a finite tensor ...
    • 1941b - Mini-Workshop: Degeneration Techniques in Representation Theory 

      [OWR-2019-46] Workshop Report 2019,46 (2019) - (06 Oct - 12 Oct 2019)
      Modern Representation Theory has numerous applications in many mathematical areas such as algebraic geometry, combinatorics, convex geometry, mathematical physics, probability. Many of the object and problems of interest ...
    • 1910b - Mini-Workshop: Lorentz Gas Dynamics: particle systems and scaling limits 

      [OWR-2019-10] Workshop Report 2019,10 (2019) - (03 Mar - 09 Mar 2019)
      This workshop had the aim to bring together leading experts from different fields, i.e. interacting particle systems, dynamical systems and kinetic theory, to consider questions related to the dynamics of the Lorentz gas ...
    • 1910a - Mini-Workshop: Mathematical Aspects of Nonlinear Wave Propagation in Solid Mechanics 

      [OWR-2019-9] Workshop Report 2019,9 (2019) - (03 Mar - 09 Mar 2019)
      Nonlinear elastodynamics sets a plethora of challenging mathematical problems such as those concerning wave propagation in solids. Elastic vibrations and acoustic waves have been widely studied because of their ...