• Right Simple Singularities in Positive Characteristic 

      [OWP-2013-28] Greuel, Gert-Martin; Nguyen, Hong Duc (Mathematisches Forschungsinstitut Oberwolfach, 2013)
      We classify isolated singularities $f \in K[[x_1,...,x_n]]$, which are simple, i.e. have no moduli, w.r.t. right equivalence, where $K$ is an algebraically closed field of characteristic $p>0$. For $K=\mathbb{R}$ or ...
    • Right Unimodal and Bimodal Singularities in Positive Characteristic 

      [OWP-2015-14] Nguyen, Hong Duc (Mathematisches Forschungsinstitut Oberwolfach, 2015-11-18)
      The problem of classification of real and complex singularities was initiated by Arnol'd in the sixties who classified simple, unimodal and bimodal w.r.t. right equivalence. The classification of right simple singularities ...
    • Root Cycles in Coxeter Groups 

      [OWP-2022-16] Hart, Sarah; Kelsey, Veronica; Rowley, Peter (Mathematisches Forschungsinstitut Oberwolfach, 2022-09-15)
      For an element $w$ of a Coxeter group $W$ there are two important attributes, namely its length, and its expression as a product of disjoint cycles in its action on $\Phi$, the root system of $W$. This paper investigates ...
    • Second Main Theorems and Unicity of Meromorphic Mappings with Moving Hypersurfaces 

      [OWP-2011-38] Si, Duc Quang (Mathematisches Forschungsinstitut Oberwolfach, 2011)
      In this article, we establish some new second main theorems for meromorphic mappings of $\mathbf{C}^m$ into $\mathbf{P}^n(\mathbf{C})$ and moving hypersurfaces with truncated counting functions. As an application, we prove ...
    • Secondary heat flow between confocal ellipses: an application of extended thermodynamics 

      [OWP-2007-11] Barbera, Elvira; Müller, Ingo (Mathematisches Forschungsinstitut Oberwolfach, 2007-03-27)
      Much as non-Newtonian fluids exhibit secondary flows in elliptic pipes, rarefied gases exhibit secondary heat flows between elliptical cylinders. The phenomenon may be called non-Fourierian, because it is not covered by ...
    • Self-adjoint differential-algebraic equations 

      [OWP-2011-27] Kunkel, Peter; Mehrmann, Volker; Scholz, Lena (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-24)
      Motivated from linear-quadratic optimal control problems for differential-algebraic equations (DAEs), we study the functional analytic properties of the operator associated with the necessary optimality boundary value ...
    • Self-dual polygons and self-dual curves 

      [OWP-2007-09] Fuks, Dmitrij B.; Tabachnikov, Serge (Mathematisches Forschungsinstitut Oberwolfach, 2007-03-25)
    • Semantic Factorization and Descent 

      [OWP-2023-05] Lucatelli Nunes, Fernando (Mathematisches Forschungsinstitut Oberwolfach, 2023-06-19)
      Let $\mathbb{A}$ be a $2$-category with suitable opcomma objects and pushouts. We give a direct proof that, provided that the codensity monad of a morphism $p$ exists and is preserved by a suitable morphism, the factorization ...
    • Semi-Invertible Extensions of C*-Algebras 

      [OWP-2010-17] Manujlov, Vladimir M.; Thomsen, Klaus (Mathematisches Forschungsinstitut Oberwolfach, 2010-03-17)
      We prolonge the list of $C^*$-algebras for which all extensions by any stable separable $C^*$-algebra are semi-invertible. In particular, we handle certain amalgamations, both of $C^*$-algebras and of groups. Concerning ...
    • A series of algebras generalizing the Octonions and Hurwitz-Radon Identity 

      [OWP-2010-10] Morier-Genoud, Sophie; Ovsienko, Valentin (Mathematisches Forschungsinstitut Oberwolfach, 2010)
      We study non-associative twisted group algebras over $(\mathbb{Z}_2)^n$ with cubic twisting functions. We construct a series of algebras that extend the classical algebra of octonions in the same way as the Clifford algebras ...
    • Shape Theory and Extensions of C*-Algebras 

      [OWP-2010-16] Manujlov, Vladimir M.; Thomsen, Klaus (Mathematisches Forschungsinstitut Oberwolfach, 2010-03-16)
      Let A, A' be separable $C^*$-algebras, $B$ a stable $\sigma$-unital $C^*$-algebra. Our main result is the construction of the pairing $[[A', A]] \times Ext^{-1/2}(A,B) \to Ext^{-1/2}(A',B)$, where $[[A', A]]$ denotes the ...
    • Sharp constants in the classical weak form of the John-Nirenberg inequality 

      [OWP-2013-07] Vasyunin, Vasily; Volberg, Alexander (Mathematisches Forschungsinstitut Oberwolfach, 2013-03-14)
      The sharp constants in the classical John-Nirenberg inequality are found by using Bellman function approach.
    • Shock-avoiding Slicing Conditions: Tests and Calibrations 

      [OWP-2022-12] Baumgarte, Thomas W.; Hilditch, David (Mathematisches Forschungsinstitut Oberwolfach, 2022-07-19)
      While the 1+log slicing condition has been extremely successful in numerous numerical relativity simulations, it is also known to develop "gauge-shocks" in some examples. Alternative "shockavoiding" slicing conditions ...
    • Simple graded commutative algebras 

      [OWP-2009-12] Morier-Genoud, Sophie; Ovsienko, Valentin (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-06)
      We study the notion of $\Gamma$-graded commutative algebra for an arbitrary abelian group $\Gamma$. The main examples are the Clifford algebras already treated in [2]. We prove that the Clifford algebras are the only ...
    • Simple vector bundles on plane degenerations of an elliptic curve 

      [OWP-2009-20] Bodnarchuk, Lesya; Drozd, Jurij A.; Greuel, Gert-Martin (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-13)
      In 1957 Atiyah classified simple and indecomposable vector bundles on an elliptic curve. In this article we generalize his classification by describing the simple vector bundles on all reduced plane cubic curves. Our main ...
    • The Simplicial Complex of Brauer Pairs of a Finite Reductive Group 

      [OWP-2023-12] Rossi, Damiano (Mathematisches Forschungsinstitut Oberwolfach, 2023-07-17)
      In this paper we study the simplicial complex induced by the poset of Brauer pairs ordered by inclusion for the family of finite reductive groups. In the defining characteristic case the homotopy type of this simplicial ...
    • Simulation of Multibody Systems with Servo Constraints through Optimal Control 

      [OWP-2015-18] Altmann, Robert; Heiland, Jan (Mathematisches Forschungsinstitut Oberwolfach, 2015)
      We consider mechanical systems where the dynamics are partially constrained to prescribed trajectories. An example for such a system is a building crane with a load and the requirement that the load moves on a certain path. ...
    • Singer quadrangles 

      [OWP-2009-07] Winter, Stefaan de; Shult, Ernest E.; Thas, Koen (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-01)
    • Singularities and Bifurcations of Pseudospherical Surfaces 

      [OWP-2020-08] Brander, David; Tari, Farid (Mathematisches Forschungsinstitut Oberwolfach, 2020-03-17)
      We study singularities and bifurcations of constant negative curvature surfaces in Euclidean 3-space via their association with Lorentzian harmonic maps. This preprint presents the basic results on this, the full proofs ...
    • Slowly oscillating wave solutions of a single species reaction-diffusion equation with delay 

      [OWP-2007-12] Trofimchuk, Elena; Tkachenko, Victor; Trofimchuk, Sergei I. (Mathematisches Forschungsinstitut Oberwolfach, 2007-03-28)
      We study positive bounded wave solutions $u(t, x) = \phi(\nu \cdot x+ct)$, $\phi(-\infty)=0$, of equation $u_t(t, x)=\delta u(t,x)−u(t,x) +g(u(t−h,x))$, $x \in \mathbb{R}^m$(*). It is supposed that Eq. (∗) has exactly two ...