Oberwolfach Reports: Recent submissions

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    • 2341 - Arbeitsgemeinschaft: Cluster Algebras 

      [OWR-2023-45] Workshop Report 2023,45 (2023) - (08 Oct - 13 Oct 2023)
      Cluster algebras, invented by Sergey Fomin and Andrei Zelevinsky around the year 2000, are commutative algebras endowed with a rich combinatorial structure. Fomin-Zelevinsky's original motivations came from Lie 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 ...

    • 2340 - New Challenges in the Interplay between Finance and Insurance 

      [OWR-2023-44] Workshop Report 2023,44 (2023) - (01 Oct - 06 Oct 2023)
      The aim of this workshop was to convene experts for fostering the discussion and the development of innovative approaches in insurance and financial mathematics. New challenges like price instability, huge insurance ...

    • 2342c - Mini-Workshop: Nonlinear Approximation of High-dimensional Functions in Scientific Computing 

      [OWR-2023-48] Workshop Report 2023,48 (2023) - (15 Oct - 20 Oct 2023)
      Approximation techniques for high dimensional PDEs are crucial for contemporary scientific computing tasks and gained momentum in recent years due to the renewed interest in neural networks. It seems that especially ...

    • 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 ...

    • 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 ...

    • 2342a - Mini-Workshop: Poisson and Poisson-type algebras 

      [OWR-2023-46] Workshop Report 2023,46 (2023) - (15 Oct - 20 Oct 2023)
      The first historical encounter with Poisson-type algebras is with Hamiltonian mechanics. With the abstraction of many notions in Physics, Hamiltonian systems were geometrized into manifolds that model the set of all ...

    • 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 ...