• 2428 - Algebraic Geometry: Wall Crossing and Moduli Spaces, Varieties and Derived Categories 

      [OWR-2024-32] Workshop Report 2024,32 (2024) - (07 Jul - 12 Jul 2024)
      The workshop addressed a broad range of subjects in algebraic geometry. Recent results on moduli spaces of various types (of sheaves, complexes, varieties) played a prominent role in many of the talks, as well as derived ...
    • 2440 - Anabelian Geometry and Representations of Fundamental Groups 

      [OWR-2024-45] Workshop Report 2024,45 (2024) - (29 Sep - 04 Oct 2024)
      The focus of the workshop was on recent developments in local systems in arithmetic geometry in the broad sense, including anabelian geo\-metry. The talks covered results in complex variations of Hodge structures, ...
    • 2414 - Arbeitsgemeinschaft: Geometry and Representation Theory around the P=W Conjecture 

      [OWR-2024-16] Workshop Report 2024,16 (2024) - (31 Mar - 05 Apr 2024)
      Given a smooth projective curve C, nonabelian Hodge theory gives a diffeomorphism between two different moduli spaces associated to C. The first is the moduli space of Higgs bundles on C of rank n, which is equipped ...
    • 2429 - Arithmetic Geometry 

      [OWR-2024-33] Workshop Report 2024,33 (2024) - (14 Jul - 19 Jul 2024)
      Arithmetic geometry is at the interface between algebraic geometry and number theory, and studies schemes over the ring of integers of number fields, or their p-adic completions. The talks covered a wide range of ...
    • 2403 - Cluster Algebras and Its Applications 

      [OWR-2024-2] Workshop Report 2024,2 (2024) - (14 Jan - 19 Jan 2024)
      This workshop focused on recent developments in cluster algebras and their applications as well as interactions with other areas of mathematics. In addition to new advances in the theory of cluster algebras themselves, it ...
    • 2445 - Directions in Rough Analysis 

      [OWR-2024-49] Workshop Report 2024,49 (2024) - (03 Nov - 08 Nov 2024)
      Rough path theory emerged in the 1990s and was developed in the 2000s as an improved approach to understanding the interaction of complex random systems. As a broader alternative to stochastic calculus, it simultaneously settled ...
    • 2412 - K-Stability, Birational Geometry and Mirror Symmetry 

      [OWR-2024-14] Workshop Report 2024,14 (2024) - (17 Mar - 22 Mar 2024)
      The workshop "K-stability, Birational Geometry and Mirror Symmetry" presented recent advances in all three topics, in the form of research level mini-courses, research talks and lightning talk sessions. Deep interactions ...
    • 2439b - MFO-RIMS Tandem Workshop: Algebraic Geometry and Noncommutative Projective Varieties 

      [OWR-2024-44] Workshop Report 2024,44 (2024) - (22 Sep - 27 Sep 2024)
      The workshop focused on noncommutative projective varieties, and the role they play in algebraic geometry. The talks ranged from discussing noncommutative ring theory and the role derived categories play in the subject to ...
    • 2419a - Real and Logarithmic Enumerative Geometry 

      [OWR-2024-23] Workshop Report 2024,23 (2024) - (05 May - 10 May 2024)
      Key topics of the workshop included enumerative geometry, Gromov-Witten invariants, and their extensions to general ground fields and tropical counting. Significant contributions were made in refined invariants, topological ...