• 1942 - Arbeitsgemeinschaft: Zimmer's Conjecture 

      [OWR-2019-48] Workshop Report 2019,48 (2019) - (13 Oct - 18 Oct 2019)
      The aim of this Arbeitsgemeinschaft was to understand the recent progress on Zimmer's conjecture in [1,2]. The week focuses on the cocompact case from [1].
    • 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 ...
    • 1933 - C*-Algebras 

      [OWR-2019-37] Workshop Report 2019,37 (2019) - (11 Aug - 17 Aug 2019)
      The subject of Operator Algebras is a flourishing broad area of mathematics which has strong ties to many other areas in mathematics including Functional/Harmonic Analysis, Topology, (non-commutative) Geometry, Geometric ...
    • 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 ...
    • 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 ...
    • 1928 - Dynamische Systeme 

      [OWR-2019-31] Workshop Report 2019,31 (2019)
      This workshop continued the biannual series at Oberwolfach on Dynamical Systems that started as the ``Moser-Zehnder meeting'' in 1981. The main themes of the workshop are the new results and developments in the area of ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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, ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 1947 - Heat Kernels, Stochastic Processes and Functional Inequalities 

      [OWR-2019-54] Workshop Report 2019,54 (2019) - (17 Nov - 23 Nov 2019)
      The aims of the 2019 workshop 'Heat Kernels, Stochastic Processes and Functional Inequalities' were: (a) to provide a forum to review recent progresses in a wide array of areas of analysis (elliptic, subelliptic and ...