• 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. ...
    • 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 ...
    • 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 ...
    • 2344c - Mini-Workshop: Positivity and Inequalities in Convex and Complex Geometry 

      [OWR-2023-51] Workshop Report 2023,51 (2023) - (29 Oct - 03 Nov 2023)
      The workshop convened researchers from algebraic geometry, convex geometry, and complex geometry to explore themes arising from the Alexandrov-Fenchel and Brunn-Minkowski inequalities. It featured three introductory talks ...
    • 2344b - Mini-Workshop: Standard Subspaces in Quantum Field Theory and Representation Theory 

      [OWR-2023-50] Workshop Report 2023,50 (2023) - (29 Oct - 03 Nov 2023)
      Real standard subspaces of complex Hilbert spaces are long \linebreak known to provide the right language for Tomita-Takesaki modular theory of von Neumann algebras. In recent years they have also become an object of ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 2310b - Optimization Problems for PDEs in Weak Space-Time Form 

      [OWR-2023-13] Workshop Report 2023,13 (2023) - (05 Mar - 10 Mar 2023)
      Optimization problems constrained by time-dependent Partial Differential Equations (PDEs) are challenging from a computational point of view: even in the simplest case, one needs to solve a system of PDEs coupled globally ...
    • 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 ...
    • 2313 - Random Graphs: Combinatorics, Complex Networks and Disordered Systems 

      [OWR-2023-16] Workshop Report 2023,16 (2023) - (26 Mar - 31 Mar 2023)
      Since the turn of the millennium the theory of random graphs has advanced by leaps and bounds. Random graphs have found very many applications, and many unexpected applications, in a remarkable variety of disciplines, and ...
    • 2311 - Real Algebraic Geometry with a View toward Koopman Operator Methods 

      [OWR-2023-14] Workshop Report 2023,14 (2023) - (12 Mar - 17 Mar 2023)
      This workshop was dedicated to the newest developments in real algebraic geometry and their interaction with convex optimization and operator theory. A particular effort was invested in exploring the interrelations with ...
    • 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 ...
    • 2307 - Representation Theory of Quivers and Finite-Dimensional Algebras 

      [OWR-2023-7] Workshop Report 2023,7 (2023) - (12 Feb - 18 Feb 2023)
      This workshop was about the representation theory of quivers and finite-dimensional (associative) algebras, and links to other areas of mathematics, including other areas of representation theory, homological algebra, ...
    • 2316 - Representations of Finite Groups 

      [OWR-2023-19] Workshop Report 2023,19 (2023) - (16 Apr - 21 Apr 2023)
      The workshop "Representations of Finite Groups" was organised by Olivier Dudas (Marseille), Meinolf Geck (Stuttgart), Radha Kessar (Manchester), and Gabriel Navarro (Valencia). It covered a wide variety of aspects of ...
    • 2306 - Resolutions in Local Algebra and Singularity Theory 

      [OWR-2023-6] Workshop Report 2023,6 (2023) - (05 Feb - 11 Feb 2023)
      Commutative algebra is a vast subject, with connections to many different areas of mathematics, and beyond. The focus of this workshop was on three areas, all concerned with resolutions in various forms. One is the ...
    • 2309a - Skew Braces and the Yang-Baxter Equation 

      [OWR-2023-9] Workshop Report 2023,9 (2023) - (26 Feb - 04 Mar 2023)
      The workshop was focused on the interplay between set-theoretic solutions to the Yang-Baxter equation and several algebraic structures used to construct and understand new solutions. In this vein, the YBE and properties ...