• 2305 - Arithmetic of Shimura Varieties 

      [OWR-2023-5] Workshop Report 2023,5 (2023) - (29 Jan - 04 Feb 2023)
      The aim of this workshop was to discuss recent developments on the arithmetic of Shimura varieties and on related topics within the Langlands program, and to initiate and support further research in this direction. The ...
    • 2315 - Komplexe Analysis - Differential and Algebraic methods in Kähler spaces 

      [OWR-2023-18] Workshop Report 2023,18 (2023) - (09 Apr - 14 Apr 2023)
      Our workshop focused on recent results in our main field (complex geometry) and its connection with other branches of mathematics. The main theme of an important proportion of the talks was Hodge theory, combined with ...
    • 2339a - MFO-RIMS Tandem Workshop 2023: Arithmetic Homotopy and Galois Theory 

      [OWR-2023-42] Workshop Report 2023,42 (2023) - (24 Sep - 29 Sep 2023)
      This report presents a general panorama of recent progress in the arithmetic-geometry theory of Galois and homotopy groups and its ramifications. While still relying on Grothendieck's original pillars, the present program ...
    • 2312 - New Directions in Real Algebraic Geometry 

      [OWR-2023-15] Workshop Report 2023,15 (2023) - (19 Mar - 24 Mar 2023)
      This workshop explored the forefront of connections of real algebraic geometry with convex analysis, combinatorics, and computational complexity. Important aspects have been promising interactions with the fields of quantum ...
    • 2311 - Real Algebraic Geometry with a View toward Koopman Operator Methods 

      [OWR-2023-14] Workshop Report 2023,14 (2023) - (12 Mar - 17 Mar 2023)
      This workshop was dedicated to the newest developments in real algebraic geometry and their interaction with convex optimization and operator theory. A particular effort was invested in exploring the interrelations with ...
    • 2325 - Recent Trends in Algebraic Geometry 

      [OWR-2023-27] Workshop Report 2023,27 (2023) - (18 Jun - 23 Jun 2023)
      Algebraic geometry has grown into a broad subject, with many different streams often advancing quite independently of each other. Nonetheless, important advances have often come from visionary applications of ideas in ...
    • 2307 - Representation Theory of Quivers and Finite-Dimensional Algebras 

      [OWR-2023-7] Workshop Report 2023,7 (2023) - (12 Feb - 18 Feb 2023)
      This workshop was about the representation theory of quivers and finite-dimensional (associative) algebras, and links to other areas of mathematics, including other areas of representation theory, homological algebra, ...
    • 2306 - Resolutions in Local Algebra and Singularity Theory 

      [OWR-2023-6] Workshop Report 2023,6 (2023) - (05 Feb - 11 Feb 2023)
      Commutative algebra is a vast subject, with connections to many different areas of mathematics, and beyond. The focus of this workshop was on three areas, all concerned with resolutions in various forms. One is the ...
    • 2338a - Tensor-Triangular Geometry and Interactions 

      [OWR-2023-40] Workshop Report 2023,40 (2023) - (17 Sep - 22 Sep 2023)
      The workshop brought together experts in a rapidly growing field of tensor triangular geometry highlighting applications to and techniques coming from homotopy theory, algebraic geometry, modular representation theory, ...
    • 2320 - Tropical Methods in Geometry 

      [OWR-2023-23] Workshop Report 2023,23 (2023) - (14 May - 19 May 2023)
      The workshop "Tropical methods in geometry" was devoted to a wide discussion and exchange of ideas between the leading experts representing various points of view on the subject including tropical methods in symplectic and ...