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    • 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 ...
    • 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, ...
    • 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. ...
    • 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 ...
    • 2330 - Partial Differential Equations 

      [OWR-2023-32] Workshop Report 2023,32 (2023) - (23 Jul - 28 Jul 2023)
      This workshop focused on nonlinear elliptic and parabolic partial differential equations, touching topics such as geometric flows, geometric variational problems and minimal surfaces, free boundaries, and geometric measure ...
    • 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 ...
    • 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 ...
    • 2331 - Teichmüller Theory: Classical, Higher, Super and Quantum 

      [OWR-2023-33] Workshop Report 2023,33 (2023) - (30 Jul - 04 Aug 2023)
      Teichmüller spaces play a major role in many areas of mathematics and physical science. The subject of the conference was recent developments of Teichmüller theory with its different ramifications that include the ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 2329 - Transport and Scale Interactions in Geophysical Flows 

      [OWR-2023-31] Workshop Report 2023,31 (2023) - (16 Jul - 21 Jul 2023)
      This interdisciplinary workshop brought together researchers working on different aspects of transport and scale interactions across the spectrum of geophysical fluid dynamics: geometry and computation of transport and ...
    • 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 ...
    • 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 ...
    • 2318 - Tomographic Inverse Problems: Mathematical Challenges and Novel Applications 

      [OWR-2023-21] Workshop Report 2023,21 (2023) - (30 Apr - 05 May 2023)
      This workshop brought together researchers working on mathematical problems related to tomography, with a particular emphasis on novel applications and associated mathematical challenges. Examples of respective issues ...
    • 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 ...
    • 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 ...