• 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 ...
    • 1945 - Analytic Number Theory 

      [OWR-2019-50] Workshop Report 2019,50 (2019) - (03 Nov - 09 Nov 2019)
      Analytic number theory is a subject which is central to modern mathematics. There are many important unsolved problems which have stimulated a large amount of activity by many talented researchers. At least two of the ...
    • 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, ...
    • 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].
    • 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 ...
    • 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 ...
    • 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 ...
    • 1931 - Computational Multiscale Methods 

      [OWR-2019-35] Workshop Report 2019,35 (2019) - (28 Jul - 03 Aug 2019)
      Many physical processes in material sciences or geophysics are characterized by inherently complex interactions across a large range of non-separable scales in space and time. The resolution of all features on all scales ...
    • 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.
    • 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 ...
    • 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 ...
    • 1935 - Geometric, Algebraic, and Topological Combinatorics 

      [OWR-2019-39] Workshop Report 2019,39 (2019) - (25 Aug - 31 Aug 2019)
      The 2019 Oberwolfach meeting "Geometric, Algebraic and Topological Combinatorics" was organized by Gil Kalai (Jerusalem), Isabella Novik (Seattle), Francisco Santos (Santander), and Volkmar Welker (Marburg). It covered a ...
    • 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 ...
    • 1949 - Groups, Dynamics, and Approximation 

      [OWR-2019-55] Workshop Report 2019,55 (2019) - (01 Dec - 07 Dec 2019)
      The workshop covered a wide range of topics, with emphasis on Geometric Group Theory, Ergodic Theory and links with Functional Analysis on the one hand and Mathematical Logic on the other. The goal of the workshop was to ...
    • 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 ...
    • 1932 - Homotopy Theory 

      [OWR-2019-36] Workshop Report 2019,36 (2019) - (04 Aug - 10 Aug 2019)
      The workshop "Homotopy Theory" was organized by Jesper Grodal (Copenhagen), Michael Hill (Los Angeles), and Birgit Richter (Hamburg). It covered a wide variety of topics in homotopy theory, from foundational questions to ...
    • 1936 - Innovative Approaches to the Numerical Approximation of PDEs 

      [OWR-2019-40] Workshop Report 2019,40 (2019) - (01 Sep - 07 Sep 2019)
      This workshop was about the numerical solution of PDEs for which classical approaches, such as the finite element method, are not well suited or need further (theoretical) underpinnings. A prominent example of PDEs for ...
    • 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 ...