Browsing 1 - Oberwolfach Preprints (OWP) by Issue Date
Now showing items 1-20 of 403
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The McKay-conjecture for exceptional groups and odd primes
[OWP-2007-07] (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 ... -
Geometric flows and 3-manifolds : Oberwolfach Lecture 2005
[OWP-2007-01] (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 ... -
Drawing large pictures at random : Oberwolfach Lecture 2007
[OWP-2007-08] (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 ... -
A 3-local identification of the alternating group of degree 8, the McLaughlin simple group and their automorphism groups
[OWP-2007-02] (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] (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] (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] (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] (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] (Mathematisches Forschungsinstitut Oberwolfach, 2007-03-25) -
Zeta functions of 3-dimensional p-adic Lie algebras
[OWP-2007-10] (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] (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] (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] (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 ... -
A note on k[z]-Automorphisms in Two Variables
[OWP-2008-17] (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 ... -
On the δ=const Collisions of Singularities of Complex Plane Curves
[OWP-2008-15] (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 ... -
On the Directionally Newton-non-degenerate Singularities of Complex Hypersurfaces
[OWP-2008-16] (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 ... -
Weyl-Titchmarsh Functions of Vector-Valued Sturm-Liouville Operators on the Unit Interval
[OWP-2008-13] (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 ... -
Formal punctured ribbons and two-dimensional local fields
[OWP-2008-01] (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] (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] (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 ...