Oberwolfach Reports: Recent submissions

Now showing items 21-40 of 1264

    • 2546 - Arithmetic Statistics for Algebraic Objects 

      [OWR-2025-52] Workshop Report 2025,52 (2025) - (09 Nov - 14 Nov 2025)
      The workshop focused on various directions of arithmetic statistics in algebra and number theory. These include statistical problems for random polynomials and varieties, probabilistic Galois theory, and counting and ...

    • 2545 - Analytic Number Theory 

      [OWR-2025-51] Workshop Report 2025,51 (2025) - (02 Nov - 07 Nov 2025)
      Analytic number theory is a subject which continues to flourish and grow with several significant developments over the past few years making progress on some of the most famous open problems in mathematics. This workshop ...

    • 2544c - Mini-Workshop: Probabilistic Perspectives in Neural Network-Based Machine Learning 

      [OWR-2025-50] Workshop Report 2025,50 (2025) - (26 Oct - 31 Oct 2025)
      Artificial neural networks (ANNs) have emerged as a powerful tool in modern machine learning, yet their mathematical foundations remain only partially understood. A key challenge is the inherently stochastic nature of ANN ...

    • 2544b - Mini-Workshop: The Yang-Baxter Equation and Representations of Braid Groups 

      [OWR-2025-49] Workshop Report 2025,49 (2025) - (26 Oct - 31 Oct 2025)
      The Yang-Baxter equation is a famous equation in mathematics and mathematical physics. It plays a central role in several areas of mathematics, including algebra, topology, and quantum field theory. The aim of the ...

    • 2544a - Mini-Workshop: Resurgence, Difference Equations and Quantum Modularity 

      [OWR-2025-48] Workshop Report 2025,48 (2025) - (26 Oct - 31 Oct 2025)
      The resurgent analysis of asymptotic series has found diverse applications and led to profound insights into our understanding of enumerative geometry, difference equations, and quantum modular forms. Consequently, ...

    • 2542 - Arbeitsgemeinschaft: Combinatorial Hodge Theory 

      [OWR-2025-47] Workshop Report 2025,47 (2025) - (12 Oct - 17 Oct 2025)
      Combinatorial Hodge theory has undergone rapid development in recent years, revealing deep connections between matroid theory, tropical geometry, toric geometry, and convex geometry. Building on the Kähler package for ...

    • 2541 - Arbeitsgemeinschaft: Analysis of Many-body Quantum Systems 

      [OWR-2025-46] Workshop Report 2025,46 (2025) - (05 Oct - 10 Oct 2025)
      This Oberwolfach Arbeitsgemeinschaft focuses on the mathematical analysis of quantum many-body systems. Of particular interest is the ground state energy of dilute quantum gases, either fermions or bosons, and its low-density ...

    • 2540 - Singularities 

      [OWR-2025-45] Workshop Report 2025,45 (2025) - (28 Sep - 03 Oct 2025)
      Singularity theory concerns local and global structure of singularities of algebraic varieties and maps, often focusing on the interplay between algebraic geometry, symplectic topology, algebra, combinatorics, etc.

    • 2539b - Mini-Workshop: Renormalisation and Randomness 

      [OWR-2025-44] Workshop Report 2025,44 (2025) - (21 Sep - 26 Sep 2025)
      In recent decades, renormalisation, which has long been a workman's tool for theoretical physicists, has also become an essential mathematical tool that appears in many guises. Within mathematics, renormalisation bridges ...

    • 2539a - MATRIX-MFO Tandem Workshop: Machine Learning and AI for Mathematics 

      [OWR-2025-43] Workshop Report 2025,43 (2025) - (21 Sep - 26 Sep 2025)
      This workshop explored how modern machine learning can both accelerate mathematical discovery and preserve rigorous standards. It focused on three angles: using AI techniques to help mathematicians make advances on challenging ...

    • 2538 - Combinatorics, Probability and Computing 

      [OWR-2025-42] Workshop Report 2025,42 (2025) - (14 Sep - 19 Sep 2025)
      The main theme of the workshop was the use of probabilistic methods in combinatorics and related fields. This area is evolving extremely quickly, with the introduction of powerful new methods and the development of ...

    • 2537 - New Mathematical Directions in Coding Theory 

      [OWR-2025-41] Workshop Report 2025,41 (2025) - (07 Sep - 12 Sep 2025)
      Coding theory is concerned with the design and analysis of error-correcting codes, a method for protecting data from noise or corruption. In addition to their wide practical applicability, error-correcting codes are also ...

    • 2536 - Large Scale Stochastic Dynamics 

      [OWR-2025-40] Workshop Report 2025,40 (2025) - (31 Aug - 05 Sep 2025)
      The goal of this workshop was to explore the recent advances in the mathematical understanding of the macroscopic properties which emerge on large space-time scales from interacting microscopic particle systems. The ...

    • 2535b - Stein's Method in Stochastic Geometry, Statistical Learning, and Optimisation 

      [OWR-2025-39] Workshop Report 2025,39 (2025) - (24 Aug - 29 Aug 2025)
      Stein's method, a powerful tool rooted in probability and stochastic analysis, has recently showcased its efficacy in addressing diverse challenges encountered in deep learning, optimisation, sampling, and causal inference. ...

    • 2535a - Cohomology Theories for Automorphic Forms and Enumerative Algebra 

      [OWR-2025-38] Workshop Report 2025,38 (2025) - (24 Aug - 29 Aug 2025)
      Cohomology theories have long proven to be powerful, unifying tools in numerous areas of mathematics, specifically in algebra, geometry, and number theory. Historically, the invention of the "right" cohomology theory ...

    • 2534 - Computation and Learning in High Dimensions 

      [OWR-2025-37] Workshop Report 2025,37 (2025) - (17 Aug - 22 Aug 2025)
      Computations with functions depending on a large numbers of variables are at the core of many problems in science and engineering. They arise naturally in physical models described by partial differential equations (PDEs) ...

    • 2533 - Algebraic K-theory 

      [OWR-2025-36] Workshop Report 2025,36 (2025) - (10 Aug - 15 Aug 2025)
      Algebraic $K$-theory is a generalization of linear algebra to rings and to geometric objects, leading to numerous applications across various mathematical fields. It plays a crucial role in number theory, algebraic and ...

    • 2532 - C*-Algebras 

      [OWR-2025-35] Workshop Report 2025,35 (2025) - (03 Aug - 08 Aug 2025)
      The subject of operator algebras is a very active area of mathematics which, since its inception in the 1940s, has always been driven by interactions with other fields of mathematics and physics. The scope of these ...

    • 2531 - Subfactors and Applications 

      [OWR-2025-34] Workshop Report 2025,34 (2025) - (27 Jul - 01 Aug 2025)
      The theory of subfactors plays an important role in the discovery and analysis of quantum symmetries that seem to be ubiquitous in mathematics and physics. Subfactors profoundly interact with a wide range of different ...

    • 2530 - Partial Differential Equations 

      [OWR-2025-33] Workshop Report 2025,33 (2025) - (20 Jul - 25 Jul 2025)
      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 ...