• 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 ...
    • 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, ...
    • 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 ...
    • 1916 - Combinatorics, Probability and Computing 

      [OWR-2019-19] Workshop Report 2019,19 (2019) - (14 Apr - 20 Apr 2019)
      The main theme of this workshop was the use of probabilistic methods in combinatorics and theoretical computer science. Although these methods have been around for decades, they are being refined all the time: they are ...
    • 1912 - Contemporary Coding Theory 

      [OWR-2019-13] Workshop Report 2019,13 (2019) - (17 Mar - 23 Mar 2019)
      Coding Theory naturally lies at the intersection of a large number of disciplines in pure and applied mathematics. A multitude of methods and means has been designed to construct, analyze, and decode the resulting ...
    • 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.
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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, ...
    • 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 ...