Oberwolfach Reports: Recent submissions

Now showing items 61-80 of 1192

    • 2402 - Fracture as an Emergent Phenomenon 

      [OWR-2024-1] Workshop Report 2024,1 (2024) - (07 Jan - 12 Jan 2024)
      The mechanics of fracture propagation provides essential knowledge for the risk tolerance design of devices, structures, and vehicles. Techniques of free energy minimization provide guidance, but have limited applicability ...

    • 2351 - Arbeitsgemeinschaft: QFT and Stochastic PDEs 

      [OWR-2023-59] Workshop Report 2023,59 (2023) - (17 Dec - 22 Dec 2023)
      Quantum field theory (QFT) is a fundamental framework for a wide range of phenomena is physics. The link between QFT and SPDE was first observed by the physicists Parisi and Wu (1981), known as Stochastic Quantisation. ...

    • 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 ...

    • 2349 - Variational Methods for Evolution 

      [OWR-2023-57] Workshop Report 2023,57 (2023) - (03 Dec - 08 Dec 2023)
      Variational principles for evolutionary systems arise in many settings, both in those describing the physical world and in man-made algorithms for data science and optimization tasks. Variational principles are ...

    • 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 ...

    • 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 ...

    • 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 ...

    • 2338a - Tensor-Triangular Geometry and Interactions 

      [OWR-2023-40] Workshop Report 2023,40 (2023) - (17 Sep - 22 Sep 2023)
      The workshop brought together experts in a rapidly growing field of tensor triangular geometry highlighting applications to and techniques coming from homotopy theory, algebraic geometry, modular representation theory, ...

    • 2345 - Control Methods in Hyperbolic Partial Differential Equations 

      [OWR-2023-52] Workshop Report 2023,52 (2023) - (05 Nov - 10 Nov 2023)
      Control of hyperbolic partial differential equations (PDEs) is a truly interdisciplinary area of research in applied mathematics nurtured by challenging problems arising in most modern applications ranging from road traffic, ...

    • 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 ...

    • 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 ...

    • 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 ...