• 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 ...
    • 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. ...
    • 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 ...
    • 2338b - Mini-Workshop: Interpolation and Over-parameterization in Statistics and Machine Learning 

      [OWR-2023-41] Workshop Report 2023,41 (2023) - (17 Sep - 22 Sep 2023)
      In recent years it has become clear that, contrary to traditional statistical beliefs, methods that interpolate (fit exactly) the noisy training data, can still be statistically optimal. In particular, this phenomenon of ...
    • 2339b - Mini-Workshop: Multivariate Orthogonal Polynomials: New synergies with Numerical Analysis 

      [OWR-2023-43] Workshop Report 2023,43 (2023) - (24 Sep - 29 Sep 2023)
      Multivariate polynomials and, in particular, multivariate orthogonal polynomials (MOPs) are research areas within the fields of special functions, Lie groups, quantum groups, computer algebra to name only some of them. ...
    • 2333 - Mixed-integer Nonlinear Optimization: A Hatchery for Modern Mathematics 

      [OWR-2023-35] Workshop Report 2023,35 (2023) - (13 Aug - 18 Aug 2023)
      Mixed-integer nonlinear programming (MINLP) is concerned with finding optimal solutions to mathematical formulations of optimization problems combining discrete and nonlinear phenomena. The scientific program was ...
    • 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 ...