Browsing 1  Oberwolfach Preprints (OWP) by Title
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Hypergroups and Twin Buildings, I
[OWP202310] (Mathematisches Forschungsinstitut Oberwolfach, 20230619)We discuss a conjecture on thick twin buildings the verification of which is needed in order to show that thick twin buildings are mathematically equivalent to regular actions of certain twin Coxeter hypergroups. (A ... 
An Identification Therorem for PSU6(2) and its Automorphism Groups
[OWP201108] (Mathematisches Forschungsinstitut Oberwolfach, 20110510)We identify the groups PSU6(2), PSU6(2):2, PSU6(2):3 and Aut(PSU6(2)) from the structure of the centralizer of an element of order 3. 
The Index of Singular Zeros of Harmonic Mappings of AntiAnalytic Degree One
[OWP201703] (Mathematisches Forschungsinstitut Oberwolfach, 20170202)We study harmonic mappings of the form $f(z) = h(z)  \overline{z}$, where $h$ is an analytic function. In particular we are interested in the index (a generalized multiplicity) of the zeros of such functions. Outside the ... 
An inductive approach to coxeter arrangements and solomon's descent algebra
[OWP201116] (Mathematisches Forschungsinstitut Oberwolfach, 20110517)In our recent paper [3], we claimed that both the group algebra of a finite Coxeter group W as well as the OrlikSolomon algebra of W can be decomposed into a sum of induced onedimensional representations of centralizers, ... 
Inductive Freeness of Ziegler’s Canonical Multiderivations for Reflection Arrangements
[OWP201714] (Mathematisches Forschungsinstitut Oberwolfach, 20170430)Let $A$ be a free hyperplane arrangement. In 1989, Ziegler showed that the restriction $A''$ of $A$ to any hyperplane endowed with the natural multiplicity is then a free multiarrangement. We initiate a study of the stronger ... 
Infeasibility certificates for linear matrix inequalities
[OWP201128] (Mathematisches Forschungsinstitut Oberwolfach, 20110525)Farkas' lemma is a fundamental result from linear programming providing linear certi cates for infeasibility of systems of linear inequalities. In semidefinite programming, such linear certificates only exist for strongly ... 
The ingram conjecture
[OWP201002] (Mathematisches Forschungsinstitut Oberwolfach, 2010038)We prove the Ingram Conjecture, i.e., we show that the inverse limit spaces of every two tent maps with different slopes in the interval [1,2] are nonhomeomorphic. Based on the structure obtained from the proof, we also ... 
The Initial and Terminal Cluster Sets of an Analytic Curve
[OWP201625] (Mathematisches Forschungsinstitut Oberwolfach, 20161221)For an analytic curve $\gamma : (a,b) \to \mathbb{C}$, the set of values approaches by $\gamma(t)$, as $t ↘a$ and as $t↗b$ can be any two continuua of $\mathbb{C} \cup \{\infty\}$. 
Instability of point defects in a twodimensional nematic liquid crystal model
[OWP201505] (Mathematisches Forschungsinstitut Oberwolfach, 20150729)We study a class of symmetric critical points in a variational 2$D$ Landau  de Gennes model where the state of nematic liquid crystals is described by symmetric traceless $3 \times 3$ matrices. These critical points play ... 
Interpolation in Bernstein and PaleyWiener Spaces
[OWP200804] (Mathematisches Forschungsinstitut Oberwolfach, 20080308)We construct closed sets S of arbitrarily small measure with the property: given any discrete set L, every lfunction on L can be interpolated by an Lfunction with spectrum on F. This should be contrasted against ... 
An introduction to heavytailed and sibexponential distributions
[OWP200913] (Mathematisches Forschungsinstitut Oberwolfach, 20090307)This text studies heavytailed distributions in probability theory, and especially convolutions of such distributions. The mail goal is to provide a complete and comprehensive introduction to the theory of longtailed ... 
Invariant Fourforms and Symmetric Pairs
[OWP201203] (Mathematisches Forschungsinstitut Oberwolfach, 20120424)We give criteria for real, complex and quaternionic representations to define $s$representations, focusing on exceptional Lie algebras defined by spin representations. As applications, we obtain the classification of ... 
Invariants of Closed Braids via Counting Surfaces
[OWP201215] (Mathematisches Forschungsinstitut Oberwolfach, 2012)A Gauss diagram is a simple, combinatorial way to present a link. It is known that any Vassiliev invariant may be obtained from a Gauss diagram formula that involves counting subdiagrams of certain combinatorial types. In ... 
KTriviality, Oberwolfach randomness, and differentiability
[OWP201217] (Mathematisches Forschungsinstitut Oberwolfach, 20121221)We show that a MartinLof random set for which the effective version of the Lebesgue density theorem fails computes every $K$trivial set. Combined with a recent result by Day and Miller, this gives a positive solution to ... 
Killing Tensors on Tori
[OWP201620] (Mathematisches Forschungsinstitut Oberwolfach, 20161110)We show that Killing tensors on conformally at ndimensional tori whose conformal factor only depends on one variable, are polynomials in the metric and in the Killing vector fields. In other words, every first integral ... 
lTorsion Bounds for the Class Group of Number Fields with an l Group as Galois Group
[OWP202011] (Mathematisches Forschungsinstitut Oberwolfach, 20200504)We describe the relations among the $\ell$torsion conjecture for $\ell$extensions, the discriminant multiplicity conjecture for nilpotent extensions and a conjecture of Malle giving an upper bound for the number of ... 
LateTime Behaviour of Israel Particles in a FLRW Spacetime with Λ>0
[OWP201619] (Mathematisches Forschungsinstitut Oberwolfach, 201610)In this paper we study the relativistic Boltzmann equation in a spatially flat FLRW spacetime. We consider Israel particles, which are the relativistic counterpart of the Maxwellian particles, and obtain globalintime ... 
Lax Comma Categories of Ordered Sets
[OWP202308] (Mathematisches Forschungsinstitut Oberwolfach, 20230619)Let $\mathsf{Ord} $ be the category of (pre)ordered sets. Unlike $\mathsf{Ord}/X$, whose behaviour is wellknown, not much can be found in the literature about the lax comma 2category $\mathsf{Ord} //X$. In this paper ... 
Legendrian Knots in Lens Spaces
[OWP201101] (Mathematisches Forschungsinstitut Oberwolfach, 2011)In this note, we first classify all topological torus knots lying on the Heegaard torus in Lens spaces, and then we classify Legendrian representatives of torus knots. We show that all Legendrian torus knots in universally ... 
Legendrian Lens Space Surgeries
[OWP201610] (Mathematisches Forschungsinstitut Oberwolfach, 20160617)We show that every tight contact structure on any of the lens spaces $L(ns^2  s + 1,s^2)$ with $n\geq 2, s \geq 1$, can be obtained by a single Legendrian surgery along a suitable Legendrian realisation of the negative ...