• 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 2310a - MATRIX-MFO Tandem Workshop: Stochastic Reinforcement Processes and Graphs 

      [OWR-2023-12] Workshop Report 2023,12 (2023) - (05 Mar - 10 Mar 2023)
      Stochastic processes with reinforcement are the central theme of the present tandem workshop. We assembled a diverse group of international experts that worked on reinforcement dynamics from several different perspectives. ...
    • 2302 - Model Theory: Combinatorics, Groups, Valued Fields and Neostability 

      [OWR-2023-2] Workshop Report 2023,2 (2023) - (08 Jan - 14 Jan 2023)
      The scope of contemporary model theory has expanded enormously over the last several decades, helped by the development of new tools applicable to an ever wider range of structures. In the spirit of the previous meetings ...
    • 2304 - Morphisms in Low Dimensions 

      [OWR-2023-4] Workshop Report 2023,4 (2023) - (22 Jan - 28 Jan 2023)
      This workshop brought together experts on interrelated topics in low-dimensional topology, centred around the common theme of 'morphisms'. Our goal was to improve community understanding of recent developments in the field ...
    • 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 ...
    • 2309b - New Horizons in Motions in Random Media 

      [OWR-2023-10] Workshop Report 2023,10 (2023) - (26 Feb - 04 Mar 2023)
      The general topic of the mini-workshop "New Horizons in Motions in Random Media" was the study of random walks in random environments, both in their own right and in relation to stochastic homogenization and to models in ...
    • 2310b - Optimization Problems for PDEs in Weak Space-Time Form 

      [OWR-2023-13] Workshop Report 2023,13 (2023) - (05 Mar - 10 Mar 2023)
      Optimization problems constrained by time-dependent Partial Differential Equations (PDEs) are challenging from a computational point of view: even in the simplest case, one needs to solve a system of PDEs coupled globally ...
    • 2313 - Random Graphs: Combinatorics, Complex Networks and Disordered Systems 

      [OWR-2023-16] Workshop Report 2023,16 (2023) - (26 Mar - 31 Mar 2023)
      Since the turn of the millennium the theory of random graphs has advanced by leaps and bounds. Random graphs have found very many applications, and many unexpected applications, in a remarkable variety of disciplines, and ...