• 2326 - Algebraische Zahlentheorie 

      [OWR-2023-28] Workshop Report 2023,28 (2023) - (25 Jun - 30 Jun 2023)
      Algebraic Number Theory is an area of Mathematics that has a legendary history and lies at the interface of Algebra and Number Theory. The last four decades of the last century witnessed rapid developments that led to ...
    • 2314 - Arbeitsgemeinschaft: Twistor D-Modules and the Decomposition Theorem 

      [OWR-2023-17] Workshop Report 2023,17 (2023) - (02 Apr - 07 Apr 2023)
      The purpose of this Arbeitsgemeinschaft is to introduce the notion of twistor $\mathcal{D}$-modules and their main properties. The guiding principle leading this discussion is Simpson's "meta-theorem", which gives a heuristic ...
    • 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 ...
    • 2335 - Aspects of Aperiodic Order 

      [OWR-2023-37] Workshop Report 2023,37 (2023) - (27 Aug - 01 Sep 2023)
      The theory of aperiodic order expanded and developed significantly since the discovery of quasicrystals, and continues to bring many mathematical disciplines together. The focus of this workshop was on harmonic analysis ...
    • 2336 - Classical and Quantum Mechanical Models of Many-Particle Systems 

      [OWR-2023-38] Workshop Report 2023,38 (2023) - (03 Sep - 08 Sep 2023)
      The workshop focused on the collective behavior of many-particle systems in various application fields: physics (gas dynamics, plasmas, quantum mechanics), mathematical biology (cell mobility, evolution of trait-structured ...
    • 2301 - Combinatorics 

      [OWR-2023-1] Workshop Report 2023,1 (2023)
      Combinatorics is an area of mathematics primarily concerned with counting and studying properties of discrete objects such as graphs, set systems, partial orders, polyhedra, etc. Combinatorial problems naturally ...
    • 2308 - Design and Analysis of Infectious Disease Studies 

      [OWR-2023-8] Workshop Report 2023,8 (2023) - (19 Feb - 25 Feb 2023)
      This was the sixth workshop on mathematical and statistical methods for the transmission of infectious diseases. Building on epidemiologic models which were the subject of earlier workshops, this workshop concentrated on ...
    • 2327 - Differentialgeometrie im Grossen 

      [OWR-2023-29] Workshop Report 2023,29 (2023) - (02 Jul - 07 Jul 2023)
      Over the past several decades, classical differential geometry has undergone a remarkable expansion, helped by the integration of tools and insights from neighboring fields like partial differential equations, complex ...
    • 2328 - Dynamische Systeme 

      [OWR-2023-30] Workshop Report 2023,30 (2023) - (09 Jul - 14 Jul 2023)
      This workshop continues a series of workshops whose current format originated in 1981 under then-organizers Moser and Zehnder, and whose latest iteration took place in July 2023. The general goal of this series of workshops ...
    • 2309c - Free Boundary Problems Arising in Fluid Mechanics 

      [OWR-2023-11] Workshop Report 2023,11 (2023) - (26 Feb - 04 Mar 2023)
      Fluid mechanics is one of the classical areas in the study of partial differential equations and has been a vast subject of research in the last centuries. A relevant class of problems are those in which the evolution of ...
    • 2334 - Geometric Spectral Theory 

      [OWR-2023-36] Workshop Report 2023,36 (2023) - (20 Aug - 25 Aug 2023)
      Spectral geometry is a rapidly developing field with new classes of operators, boundary value problems and geometric objects arising in different applications. At the same time, classical problems continue gaining novel ...
    • 2319 - Group Actions and Harmonic Analysis in Number Theory 

      [OWR-2023-22] Workshop Report 2023,22 (2023) - (07 May - 12 May 2023)
      This workshop focuses on new problems and new methods at the interface of harmonic analysis (taken in a very broad sense) and ergodic theory, with applications focused on number theory. Special emphasis is put on ...
    • 2332 - Homotopy Theory 

      [OWR-2023-34] Workshop Report 2023,34 (2023) - (06 Aug - 11 Aug 2023)
      The workshop brought together experts in homotopy theory from many areas, including chromatic homotopy theory, algebraic K-theory, derived algebra and equivariant homotopy theory. We had a lecture series on the recent ...
    • 2321 - Hypoelliptic Operators in Geometry 

      [OWR-2023-24] Workshop Report 2023,24 (2023) - (21 May - 26 May 2023)
      The workshop titled "Hypoelliptic Operators in Geometry" was coorganized by Davide Barilari (Padova), Xiaonan Ma (Paris), Nikhil Savale (Köln) and Yi Wang (Baltimore). It was well attended by 55 participants, with 45 of ...
    • 2323 - Incidence Problems in Harmonic Analysis, Geometric Measure Theory, and Ergodic Theory 

      [OWR-2023-25] Workshop Report 2023,25 (2023) - (04 Jun - 09 Jun 2023)
      The workshop "Incidence Problems in Harmonic Analysis, Geometric Measure Theory, and Ergodic Theory" covered interactions between geometric problems involving fractals, dimensions, patterns, projections and incidences, and ...
    • 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 ...
    • 2303 - Low-dimensional Topology 

      [OWR-2023-3] Workshop Report 2023,3 (2023) - (15 Jan - 21 Jan 2023)
      The workshop brought together experts from across all areas of low-dimensional topology, including knot theory, computational topology, three-manifolds and four-manifolds. In addition to the standard research talks we had ...
    • 2324 - Machine Learning for Science: Mathematics at the Interface of Data-driven and Mechanistic Modelling 

      [OWR-2023-26] Workshop Report 2023,26 (2023) - (11 Jun - 16 Jun 2023)
      Rapid progress in machine learning is enabling scientific advances across a range of disciplines. However, the utility of machine learning for science remains constrained by its current inability to translate insights from ...
    • 2337 - Many-Body Quantum Systems 

      [OWR-2023-39] Workshop Report 2023,39 (2023) - (10 Sep - 15 Sep 2023)
      This workshop brought together experts on the analysis of quantum many-body problems and quantum statistical mechanics, with the goal of discussing the state-of-the-art of the field, recent developments as well as challenges ...
    • 2317 - Mathematical Foundations of Biological Organisation 

      [OWR-2023-20] Workshop Report 2023,20 (2023) - (23 Apr - 28 Apr 2023)
      The workshop aimed to explore the use of new mathematical and computational approaches to investigate the fundamental principles governing the organization and dynamics of biological systems. This necessitated conversations ...