• 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 ...
    • 1903 - Arithmetic of Shimura Varieties 

      [OWR-2019-2] Workshop Report 2019,2 (2019) - (13 Jan - 19 Jan 2019)
      Arithmetic properties of Shimura varieties are an exciting topic which has roots in classical topics of algebraic geometry and of number theory such as modular curves and modular forms. This very active research field has ...
    • 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 ...
    • 1946b - Mini-Workshop: Rank One Groups and Exceptional Algebraic Groups 

      [OWR-2019-52] Workshop Report 2019,52 (2019) - (10 Nov - 16 Nov 2019)
      Rank one groups are a class of doubly transitive groups that are natural generalizations of the groups $ \operatorname{SL}_2(k) $. The most interesting examples arise from exceptional algebraic groups of relative rank ...
    • 1904 - Surface, Bulk, and Geometric Partial Differential Equations: Interfacial, stochastic, non-local and discrete structures 

      [OWR-2019-3] Workshop Report 2019,3 (2019) - (20 Jan - 26 Jan 2019)
      Partial differential equations in complex domains with free\linebreak boundaries and interfaces continue to be flourishing research areas at the interfaces between PDE theory, differential geometry, numerical analysis ...
    • 1913 - Representations of Finite Groups 

      [OWR-2019-14] Workshop Report 2019,14 (2019) - (24 Mar - 30 Mar 2019)
      The workshop Representations of Finite Groups was organised by Joseph Chuang (London), Meinolf Geck (Stuttgart), Radha Kessar (London) and Gabriel Navarro (Valencia). It covered a wide variety of aspects of representation ...
    • 1918 - Tropical Geometry: new directions 

      [OWR-2019-21] Workshop Report 2019,21 (2019) - (28 Apr - 04 May 2019)
      The workshop "Tropical Geometry: New Directions" was devoted to a wide discussion and exchange of ideas between the leading experts representing various points of view on the subject, notably, to new phenomena that have ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 1940 - New Developments in Representation Theory of p-adic Groups 

      [OWR-2019-44] Workshop Report 2019,44 (2019)
      The representation theory of $p$-adic groups has played an important role in the Langlands program. It has seen significant progress in the past two decades, including various instances of the local Langlands correspondences, ...
    • 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 ...
    • 1925b - Statistical Methodology and Theory for Functional and Topological Data 

      [OWR-2019-28] Workshop Report 2019,28 (2019) - (16 Jun - 22 Jun 2019)
      The workshop focuses on the statistical analysis of complex data which cannot be represented as realizations of finite-dimensional random vectors. An example of such data are functional data. They arise in a variety of ...
    • 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 ...
    • 1914 - Arbeitsgemeinschaft: Elliptic Cohomology according to Lurie 

      [OWR-2019-15] Workshop Report 2019,15 (2019)
      In this collection we give an overview of Jacob Lurie's construction of elliptic cohomology and Lubin Tate theory. As opposed to the original construction by Goerss-Hopkins-Miller, which uses heavy obstruction theory, ...
    • 1950 - Random Matrices 

      [OWR-2019-56] Workshop Report 2019,56 (2019) - (08 Dec - 14 Dec 2019)
      Large complex systems tend to develop universal patterns that often represent their essential characteristics. For example, the cumulative effects of independent or weakly dependent random variables often yield the Gaussian ...
    • 1921 - Nonlinear Hyperbolic Problems: modeling, analysis, and numerics 

      [OWR-2019-24] Workshop Report 2019,24 (2019) - (19 May - 25 May 2019)
      The workshop gathered together leading international experts, as well as most promising young researchers, working on the modelling, the mathematical analysis, and the numerical methods for nonlinear hyperbolic ...
    • 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 ...
    • 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 ...
    • 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 ...