• 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 ...
    • 2350 - Geometric, Algebraic, and Topological Combinatorics 

      [OWR-2023-58] Workshop Report 2023,58 (2023) - (10 Dec - 15 Dec 2023)
      The 2023 Oberwolfach meeting "Geometric, Algebraic, and Topological Combinatorics'' was organized by Gil Kalai (Jerusalem), Isabella Novik (Seattle), Francisco Santos (Santander), and Volkmar Welker (Marburg). It ...
    • 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 ...
    • 2346 - Mathematical Logic: Proof Theory, Constructive Mathematics 

      [OWR-2023-53] Workshop Report 2023,53 (2023) - (12 Nov - 17 Nov 2023)
      The Workshop "Mathematical Logic: Proof Theory, Constructive Mathematics" focused on proof-theoretic research on the foundations of mathematics, on the extraction of explicit computational content from given proofs in ...
    • 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 ...
    • 2348a - Mini-Workshop: Combinatorial and Algebraic Structures in Rough Analysis and Related Fields 

      [OWR-2023-54] Workshop Report 2023,54 (2023) - (26 Nov - 02 Dec 2023)
      Recent years have seen an explosion of algebraic methods to study singular stochastic and rough dynamics. These include developments in geometric rough path theory based on the algebra of words, the introduction of ...
    • 2342b - Mini-Workshop: Felix Klein's Foreign Students: Opening Up the Way for Transnational Mathematics 

      [OWR-2023-47] Workshop Report 2023,47 (2023) - (15 Oct - 20 Oct 2023)
      Extending existing analyses of the topic, the workshop aimed to investigate the influence of Felix Klein on the development of mathematics (especially number theory, algebra, geometry, analysis, applications of mathematics ...
    • 2348c - Mini-Workshop: Flavors of Rabinowitz Floer and Tate Homology 

      [OWR-2023-56] Workshop Report 2023,56 (2023) - (26 Nov - 01 Dec 2023)
      Rabinowitz Floer homology originated 15 years ago in symplectic geometry. Recent developments have related it to algebraic topology via string toplogy and Tate homology, and to mirror symmetry via Fukaya categories. This ...
    • 2348b - Mini-Workshop: Homological Aspects for TDLC-Groups 

      [OWR-2023-55] Workshop Report 2023,55 (2023) - (26 Nov - 01 Dec 2023)
      This mini-workshop aimed at bringing together experts and early career researchers on finiteness conditions for discrete groups, and experts on varying aspects of locally compact groups to find a common framework to develop ...
    • 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 ...