• Space-Time Euler Discretization Schemes for the Stochastic 2D Navier-Stokes Equations 

      [OWP-2020-12] Bessaih, Hakima; Millet, Annie (Mathematisches Forschungsinstitut Oberwolfach, 2020-05-06)
      We prove that the implicit time Euler scheme coupled with finite elements space discretization for the 2D Navier-Stokes equations on the torus subject to a random perturbation converges in $L^2(\Omega)$, and describe the ...
    • Quantum symmetry 

      [SNAP-2020-005-EN] Weber, Moritz (Mathematisches Forschungsinstitut Oberwolfach, 2020-06-04)
      In mathematics, symmetry is usually captured using the formalism of groups. However, the developments of the past few decades revealed the need to go beyond groups: to “quantum groups”. We explain the passage from ...
    • How Quantum Information Can Improve Social Welfare 

      [OWP-2020-13] Groisman, Berry; Mc Gettrick, Michael; Mhalla, Mehdi; Pawlowski, Marcin (Mathematisches Forschungsinstitut Oberwolfach, 2020-07-16)
      In [2, 18, 5, 19, 4] it has been shown that quantum resources can allow us to achieve a family of equilibria that can have sometimes a better social welfare, while guaranteeing privacy. We use graph games to propose ...
    • Hopf Algebras in Combinatorics, Volume 1 

      [OWP-2020-14] Grinberg, Darij; Reiner, Victor (Mathematisches Forschungsinstitut Oberwolfach, 2020-07-29)
    • Hopf Algebras in Combinatorics, Volume 2 

      [OWP-2020-15] Grinberg, Darij; Reiner, Victor (Mathematisches Forschungsinstitut Oberwolfach, 2020-07-30)
    • Maximal Quaternion Orders in Quadratic Extensions - in Hurwitz’s Diaries 

      [OWP-2020-16] Oswald, Nicola; Steuding, Jörn (Mathematisches Forschungsinstitut Oberwolfach, 2020-08-03)
      We present and comment on some unpublished work of Adolf Hurwitz on quaternion arithmetic from his diaries.
    • Braidoids 

      [OWP-2020-17] Gügümcü, Neslihan; Lambropoulou, Sofia (Mathematisches Forschungsinstitut Oberwolfach, 2020-09-03)
      Braidoids generalize the classical braids and form a counterpart theory to the theory of planar knotoids, just as the theory of braids does for the theory of knots. In this paper, we introduce the notion of braidoids in ...
    • The Pelletier-Ressayre Hidden Symmetry for Littlewood-Richardson Coefficients 

      [OWP-2020-18] Grinberg, Darij (Mathematisches Forschungsinstitut Oberwolfach, 2020-09-08)
      We prove an identity for Littlewood–Richardson coefficients conjectured by Pelletier and Ressayre. The proof relies on a novel birational involution defined over any semifield.
    • Rotating needles, vibrating strings, and Fourier summation 

      [SNAP-2020-006-EN] Zahl, Joshua (Mathematisches Forschungsinstitut Oberwolfach, 2020-09-21)
      We give a brief survey of the connection between seemingly unrelated problems such as sets in the plane containing lines pointing in many directions, vibrating strings and drum heads, and a classical problem from Fourier analysis.
    • Higgs bundles without geometry 

      [SNAP-2020-008-EN] Rayan, Steven; Schaposnik, Laura P. (Mathematisches Forschungsinstitut Oberwolfach, 2020-09-29)
      Higgs bundles appeared a few decades ago as solutions to certain equations from physics and have attracted much attention in geometry as well as other areas of mathematics and physics. Here, we take a very informal stroll ...
    • Unexpected Properties of the Klein Configuration of 60 Points in $\mathbb{P}^3$ 

      [OWP-2020-19] Pokora, Piotr; Szemberg, Tomasz; Szpond, Justyna (Mathematisches Forschungsinstitut Oberwolfach, 2020-10-07)
      Felix Klein in course of his study of the regular and its symmetries encountered a highly symmetric configuration of 60 points in $\mathbb{P}^3$. This configuration has appeared in various guises, perhaps post notably as ...
    • Shape space – a paradigm for character animation in computer graphics 

      [SNAP-2020-007-EN] Heeren, Behrend; Rumpf, Martin (Mathematisches Forschungsinstitut Oberwolfach, 2020-10-07)
      Nowadays 3D computer animation is increasingly realistic as the models used for the characters become more and more complex. These models are typically represented by meshes of hundreds of thousands or even millions ...
    • Homology and $K$-Theory of Torsion-Free Ample Groupoids and Smale Spaces 

      [OWP-2020-20] Proietti, Valerio; Yamashita, Makoto (Mathematisches Forschungsinstitut Oberwolfach, 2020-10-09)
      Given an ample groupoid, we construct a spectral sequence with groupoid homology with integer coefficients on the second sheet, converging to the $K$-groups of the groupoid C*-algebra when the groupoid has torsion-free ...
    • Octonion Polynomials with Values in a Subalgebra 

      [OWP-2020-21] Chapman, Adam (Mathematisches Forschungsinstitut Oberwolfach, 2020-10-22)
      In this paper, we prove that given an octonion algebra $A$ over a field $F$, a subring $E \subseteq F$ and an octonion $E$-algebra $R$ inside $A$, the set $S$ of polynomials $f(x) \in A[x]$ satisfying $f(R) \subseteq R$ ...
    • Dynamics of Gravitational Collapse in the Axisymmetric Einstein-Vlasov System 

      [OWP-2020-22] Ames, Ellery; Andréasson, Håkan; Rinne, Oliver (Mathematisches Forschungsinstitut Oberwolfach, 2020-12-15)
      We numerically investigate the dynamcis near black hole formation of solutions to the Einstein-Vlasov system in axisymmetry. Our results are obtained using a particle-in-cell and finite difference code based on the (2+1)+1 ...
    • Quantum symmetry 

      [SNAP-2020-009-EN] Caspers, Martijn (Mathematisches Forschungsinstitut Oberwolfach, 2020-12-31)
      The symmetry of objects plays a crucial role in many branches of mathematics and physics. It allowed, for example, the early prediction of the existence of new small particles. “Quantum symmetry” concerns a generalized ...
    • 2118 - Foundations of Bayesian Inference for Complex Statistical Models (hybrid meeting) 

      [OWR-2021-22] (2021) - (02 May - 08 May 2021)
      In this virtual workshop a variety of recent developments in Bayesian high-dimensional and nonparametric statistics were discussed in depth. There were 12 in depth talks delivered via zoom in the afternoons (to allow for ...
    • 2101b - Geometry, Dynamics and Spectrum of Operators on Discrete Spaces (online meeting) 

      [OWR-2021-2] (2021) - (03 Jan - 09 Jan 2021)
      Spectral theory is a gateway to fundamental insights in geometry and mathematical physics. In recent years the study of spectral problems in discrete spaces has gained enormous momentum. While there are some relations to ...
    • 2105 - Moduli spaces and Modular forms (hybrid meeting) 

      [OWR-2021-6] (2021) - (31 Jan - 06 Feb 2021)
      The relation between moduli spaces and modular forms goes back to the theory of elliptic curves. On the one hand both topics experience their own growth and development, but from time to time new unexpected links show ...
    • 2101a - Homogeneous Structures: Model Theory meets Universal Algebra (online meeting) 

      [OWR-2021-1] (2021)
      The workshop "Homogeneous Structures: Model Theory meets Universal Algebra'' was centred around transferring recently obtained advances in universal algebra from the finite to the infinite. As it turns out, the notion ...