• 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 ...
    • 1905 - Tomographic Inverse Problems: Theory and Applications 

      [OWR-2019-4] Workshop Report 2019,4 (2019) - (27 Jan - 02 Feb 2019)
      This was the tenth Oberwolfach conference on the mathematics of tomography. The field rests on the interplay between the theoretical and applied; practical questions lead to new mathematics and pure mathematics motivates ...
    • 1911 - Uncertainty Quantification 

      [OWR-2019-12] Workshop Report 2019,12 (2019) - (10 Mar - 16 Mar 2019)
      Uncertainty quantification (UQ) is concerned with including and characterising uncertainties in mathematical models. Major steps comprise proper description of system uncertainties, analysis and efficient quantification ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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, ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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, ...
    • 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 ...
    • 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 ...