• 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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, ...
    • 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 ...
    • 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 ...
    • 1939 - Toric Geometry 

      [OWR-2019-43] Workshop Report 2019,43 (2019) - (22 Sep - 28 Sep 2019)
      Toric geometry is a subfield of algebraic geometry with rich interactions with geometric combinatorics, and many other fields of mathematics. This workshop brought together a broad range of mathematicians interested in ...
    • 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 ...