• 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 ...
    • 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 ...
    • 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 ...