• 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 ...
    • 2344a - Mini-Workshop: Mathematics of Many-body Fermionic Systems 

      [OWR-2023-49] Workshop Report 2023,49 (2023) - (29 Oct - 04 Nov 2023)
      Fermionic quantum systems are well described by the linear many-body Schrödinger equation. For interacting systems the full Schrödinger theory is extremely complicated and theoretical as well numerical investigations are ...
    • 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 ...