• The McKay-conjecture for exceptional groups and odd primes 

      [OWP-2007-07] Späth, Britta (Mathematisches Forschungsinstitut Oberwolfach, 2007)
      Let $\mathbf{G}$ be a simply-connected simple algebraic group over an algebraically closed field of characteristic p with a Frobenius map $F:\mathbf{G}→\mathbf{G}$ and $\mathbf{G}:=\mathbf{G}^F$, such that the root system ...
    • Drawing large pictures at random : Oberwolfach Lecture 2007 

      [OWP-2007-08] Wendelin, Werner (Mathematisches Forschungsinstitut Oberwolfach, 2007)
      This lecture is of very introductory nature. The goal will be to describe specific concrete questions, and to use them as a tool to convey some general ideas. Let me therefore skip the general introduction and immediately ...
    • Geometric flows and 3-manifolds : Oberwolfach Lecture 2005 

      [OWP-2007-01] Huisken, Gerhard (Mathematisches Forschungsinstitut Oberwolfach, 2007)
      The current article arose from a lecture1 given by the author in October 2005 on the work of R. Hamilton and G. Perelman on Ricci-flow and explains central analytical ingredients in geometric parabolic evolution equations ...
    • A 3-local identification of the alternating group of degree 8, the McLaughlin simple group and their automorphism groups 

      [OWP-2007-02] Parker, Christopher; Rowley, Peter (Mathematisches Forschungsinstitut Oberwolfach, 2007-03-20)
      In this article we give 3-local characterizations of the alternating and symmetric groups of degree 8 and use these characterizations to recognize the sporadic simple group discovered by McLaughlin from its 3-local subgroups.
    • Resolution of symplectic cyclic orbifold singularities 

      [OWP-2007-03] Niederkrüger, Klaus; Pasquotto, Federica (Mathematisches Forschungsinstitut Oberwolfach, 2007-03-21)
      In this paper we present a method to obtain resolutions of symplectic orbifolds arising as quotients of pre-symplectic semi-free S1-actions. This includes, in particular, all orbifolds arising from symplectic reduction of ...
    • Vector bundles on degenerations of elliptic curves and Yang-Baxter equations 

      [OWP-2007-04] Burban, Igor; Kreußler, Bernd (Mathematisches Forschungsinstitut Oberwolfach, 2007-03-22)
      In this paper we introduce the notion of a gemetric associative r-matrix attached to a genus one fibration with a section and irreducible fibres. It allows us to study degenerations of solutions of the classical Yang-Baxter ...
    • On test sets for nonlinear integer maximization 

      [OWP-2007-05] Lee, Jon; Onn, Shmuel; Weismantel, Robert (Mathematisches Forschungsinstitut Oberwolfach, 2007-03-23)
      A finite test set for an integer maximation problem enables us to verify whether a feasible point atains the global maximum. We establish in this paper several general results that apply to integer maximization problems ...
    • Nonlinear matroid optimization and experimental design 

      [OWP-2007-06] Lee, Jon; Onn, Shmuel; Weismantel, Robert; Berstein, Yael; Maruri-Aguilar, Hugo; Riccomagno, Eva; Wynn, Henry P. (Mathematisches Forschungsinstitut Oberwolfach, 2007-03-24)
      We study the problem of optimizing nonlinear objective functions over matroids presented by oracles or explicitly. Such functions can be interpreted as the balancing of multi-criteria optimization. We provide a combinatorial ...
    • Self-dual polygons and self-dual curves 

      [OWP-2007-09] Fuks, Dmitrij B.; Tabachnikov, Serge (Mathematisches Forschungsinstitut Oberwolfach, 2007-03-25)
    • Zeta functions of 3-dimensional p-adic Lie algebras 

      [OWP-2007-10] Klopsch, Benjamin; Voll, Christopher (Mathematisches Forschungsinstitut Oberwolfach, 2007-03-26)
      We give an explicit formula for the subalgebra zeta function of a general 3-dimensional Lie algebra over the $p$-adic integers $\mathbb{Z}_p$. To this end, we associate to such a Lie algebra a ternary quadratic form over ...
    • 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 ...
    • 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 ...
    • Hölder-Differentiability of Gibbs Distribution Functions 

      [OWP-2007-13] Keßeböhmer, Marc; Stratmann, Bernd (Mathematisches Forschungsinstitut Oberwolfach, 2007-03-29)
      In this paper we give non-trivial applications of the thermodynamic formalism to the theory of distribution functions of Gibbs measures (devil’s staircases) supported on limit sets of finitely generated conformal iterated ...
    • On the Directionally Newton-non-degenerate Singularities of Complex Hypersurfaces 

      [OWP-2008-16] Kerner, Dmitry (Mathematisches Forschungsinstitut Oberwolfach, 2008)
      We introduce a minimal generalization of Newton-non-degenerate singularities of hypersurfaces. Roughly speaking, an isolated hypersurface singularity is called directionally Newton-non-degenerate if the local embedded ...
    • A note on k[z]-Automorphisms in Two Variables 

      [OWP-2008-17] Edo, Eric; Essen, Arno van den; Maubach, Stefan (Mathematisches Forschungsinstitut Oberwolfach, 2008)
      We prove that for a polynomial $f \in k[x, y, z]$ equivalent are: (1)$f$ is a $k[z]$-coordinate of $k[z][x,y]$, and (2) $k[x, y, z]/(f)\cong k^[2]$ and $f(x,y,a)$ is a coordinate in $k[x,y]$ for some $a \in k$. This solves ...
    • Weyl-Titchmarsh Functions of Vector-Valued Sturm-Liouville Operators on the Unit Interval 

      [OWP-2008-13] Chelkak, Dmitry; Korotyaev, Evgeny (Mathematisches Forschungsinstitut Oberwolfach, 2008)
      The matrix-valued Weyl-Titchmarsh functions $M(\lambda)$ of vector-valued Sturm-Liouville operators on the unit interval with the Dirichlet boundary conditions are considered. The collection of the eigenvalues (i.e., poles ...
    • On the δ=const Collisions of Singularities of Complex Plane Curves 

      [OWP-2008-15] Kerner, Dmitry (Mathematisches Forschungsinstitut Oberwolfach, 2008)
      We study a specific class of deformations of curve singularities: the case when the singular point splits to several ones, such that the total $\delta$ invariant is preserved. These are also known as equi-normalizable or ...
    • Formal punctured ribbons and two-dimensional local fields 

      [OWP-2008-01] Kurke, Herbert; Osipov, Denis; Zheglov, Alexander (Mathematisches Forschungsinstitut Oberwolfach, 2008-03-05)
      We investigate formal ribbons on curves. Roughly speaking, formal ribbon is a family of locally linearly compact vector spaces on a curve. We establish a one-to-one correspondence between formal ribbons on curves plus some ...
    • Upper tails for intersection local times of random walks in supercritical dimensions 

      [OWP-2008-02] Chen, Xia; Mörters, Peter (Mathematisches Forschungsinstitut Oberwolfach, 2008-03-06)
      We determine the precise asymptotics of the logarithmic upper tail probability of the total intersection local time of $p$ independent random walks in $\mathbb{Z}^d$ under the assumption $p(d-2)>d$. Our approach allows a ...
    • Hecke duality relations of Jacobi forms 

      [OWP-2008-03] Bringmann, Kathrin; Heim, Bernhard (Mathematisches Forschungsinstitut Oberwolfach, 2008-03-07)
      In this paper we introduce a new subspace of Jacobi forms of higher degree via certain relations among Fourier coefficients. We prove that this space can also be characterized by duality properties of certain distinguished ...