• 1941a - Mini-Workshop: Operator Algebraic Quantum Groups 

      [OWR-2019-45] Workshop Report 2019,45 (2019) - (06 Oct - 12 Oct 2019)
      This mini-workshop brought together a rich and varied cross-section of young and active researchers working on operator algebraic aspects of quantum group theory. The primary goals of this meeting were to highlight the ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 1941c - Mini-Workshop: Self-adjoint Extensions in New Settings 

      [OWR-2019-47] Workshop Report 2019,47 (2019) - (06 Oct - 12 Oct 2019)
      The main focus of the workshop is on the analysis of boundary value problems for differential and difference operators in some non-classical geometric settings, such as fractal graphs, sub-Riemannian manifolds or non-elliptic ...
    • 1946c - Mini-Workshop: Seshadri Constants 

      [OWR-2019-53] Workshop Report 2019,53 (2019) - (10 Nov - 16 Nov 2019)
      Seshadri constants were defined by Demailly around 30 years ago using the ampleness criterion of Seshadri. Demailly was interested in studying problems related to separation of jets of line bundles on projective varieties, ...
    • 1923 - Mixed-integer Nonlinear Optimization: a hatchery for modern mathematics 

      [OWR-2019-26] Workshop Report 2019,26 (2019) - (02 Jun - 08 Jun 2019)
      The second MFO Oberwolfach Workshop on Mixed-Integer Nonlinear Programming (MINLP) took place between 2nd and 8th June 2019. MINLP refers to one of the hardest Mathematical Programming (MP) problem classes, involving both ...
    • 1951 - Modular Forms 

      [OWR-2019-57] Workshop Report 2019,57 (2019) - (15 Dec - 21 Dec 2019)
      The theory of Modular Forms has been central in mathematics with a rich history and connections to many other areas of mathematics. The workshop explored recent developments and future directions with a ...
    • 1908 - Moist Processes in the Atmosphere 

      [OWR-2019-7] Workshop Report 2019,7 (2019) - (17 Feb - 23 Feb 2019)
      Processes related to water in the atmosphere lead to severe uncertainties in weather forecasting and climate research. Atmospheric water vapor and cloud water strongly influence the Earth's energy budget through, ...
    • 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, ...
    • 1909 - Non-Archimedean Geometry and Applications 

      [OWR-2019-8] Workshop Report 2019,8 (2019) - (24 Feb - 02 Mar 2019)
      The workshop focused on recent developments in non-Archimedean analytic geometry with various applications to other fields. The topics of the talks included applications to complex geometry, mirror symmetry, p-adic Hodge ...
    • 1906 - Nonlinear Evolution Equations: Analysis and Numerics 

      [OWR-2019-5] Workshop Report 2019,5 (2019) - (03 Feb - 09 Feb 2019)
      The qualitative theory of nonlinear evolution equations is an important tool for studying the dynamical behavior of systems in science and technology. A thorough understanding of the complex behavior of such systems ...
    • 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 ...
    • 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.
    • 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 ...
    • 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 ...
    • 1907 - Singularities and Homological Aspects of Commutative Algebra 

      [OWR-2019-6] Workshop Report 2019,6 (2019) - (10 Feb - 16 Feb 2019)
      Commutative algebra has recently witnessed a number of spectacular developments, resulting in the resolution of long-standing problems. The new techniques and perspectives, such as methods from the theory of perfectoid ...
    • 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 ...
    • 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 ...
    • 1944 - Subfactors and Applications 

      [OWR-2019-49] Workshop Report 2019,49 (2019) - (27 Oct - 02 Nov 2019)
      The theory of subfactors connects diverse topics in mathematics and mathematical physics such as tensor categories, vertex operator algebras, quantum groups, quantum topology, free probability, quantum field theory, ...