Browsing 1 - Oberwolfach Preprints (OWP) by Title
Now showing items 132-151 of 380
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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 ... -
Heisenberg-Weyl algebra revisited: combinatorics of words and paths
[OWP-2009-02] (Mathematisches Forschungsinstitut Oberwolfach, 2009)The Heisenberg–Weyl algebra, which underlies virtually all physical representations of Quantum Theory, is considered from the combinatorial point of view. We provide a concrete model of the algebra in terms of paths on a ... -
Herbrand’s Theorem as Higher Order Recursion
[OWP-2018-01] (Mathematisches Forschungsinstitut Oberwolfach, 2018-02-19)We provide a means to compute Herbrand disjunctions directly from sequent calculus proofs with cuts. Our approach associates to a first-order classical proof $\pi \vdash \exists v F$, where $F$ is quantifier free, an ... -
Higher Finiteness Properties of Reductive Arithmetic Groups in Positive Characteristic: the Rank Theorem
[OWP-2011-05] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-8)We show that the finiteness length of an $S$-arithmetic subgroup $\Gamma$ in a noncommutative isotropic absolutely almost simple group $\mathcal{G}$ over a global function field is one less than the sum of the local ranks ... -
Hight functions on quaternionic Stiefel manifolds
[OWP-2015-10] (Mathematisches Forschungsinstitut Oberwolfach, 2015-07-29)In this note, we study height functions on quaternionic Stiefel manifolds and prove that all these height functions are Morse-Bott. Among them, we characterize the Morse functions and give a lower bound for their number ... -
Holomorphic automorphic forms and cohomology
[OWP-2014-07] (Mathematisches Forschungsinstitut Oberwolfach, 2014-04-25)We investigate the correspondence between holomorphic automorphic forms on the upper half-plane with complex weight and parabolic cocycles. For integral weights at least 2 this correspondence is given by the Eichler integral. ... -
Holonomy Groups of $G_2^*$-Manifolds
[OWP-2017-07] (Mathematisches Forschungsinstitut Oberwolfach, 2017-03-07)We classify the holonomy algebras of manifolds admitting an indecomposable torsion free $G_2^*$-structure, i.e. for which the holonomy representation does not leave invariant any proper non-degenerate subspace. We realize ... -
Homogenization of a nonlinear monotone problem with nonlinear Signorini boundary conditions in a domain with highly rough boundary
[OWP-2018-06] (Mathematisches Forschungsinstitut Oberwolfach, 2018-04-16)We consider a domain $\Omega_\varepsilon\subset\mathbb{R}^N$, $N\geq2$, with a very rough boundary depending on~$\varepsilon$. For instance, if $N=3$ the domain $\Omega_\varepsilon$ has the form of a brush with an ... -
Homological properties of piecewise hereditary algebras
[OWP-2009-11] (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-05)Let $\Lambda$ be a finite dimensional algebra over an algebraically closed field $k$. We will investigate homological properties of piecewise hereditary algebras $\Lambda$. In particular we give lower and upper bounds of ... -
Homology and $K$-Theory of Torsion-Free Ample Groupoids and Smale Spaces
[OWP-2020-20] (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 ... -
Hopf Algebras in Combinatorics, Volume 1
[OWP-2020-14] (Mathematisches Forschungsinstitut Oberwolfach, 2020-07-29) -
Hopf Algebras in Combinatorics, Volume 2
[OWP-2020-15] (Mathematisches Forschungsinstitut Oberwolfach, 2020-07-30) -
How Quantum Information Can Improve Social Welfare
[OWP-2020-13] (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 ... -
Hölder Continuity of the Spectra for Aperiodic Hamiltonians
[OWP-2019-05] (Mathematisches Forschungsinstitut Oberwolfach, 2019-02-26)We study the spectral location of a strongly pattern equivariant Hamiltonians arising through configurations on a colored lattice. Roughly speaking, two configurations are "close to each other" if, up to a translation, ... -
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 ... -
Hutchinson's Intervals and Entire Functions from the Laguerre-Pólya Class
[OWP-2022-19] (Mathematisches Forschungsinstitut Oberwolfach, 2022-12-12)We find the intervals $[\alpha, \beta (\alpha)]$ such that if a univariate real polynomial or entire function $f(z) = a_0 + a_1 z + a_2 z^2 + \cdots $ with positive coefficients satisfy the conditions $ \frac{a_{k-1}^2}{ ... -
An Identification Therorem for PSU6(2) and its Automorphism Groups
[OWP-2011-08] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-10)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 Anti-Analytic Degree One
[OWP-2017-03] (Mathematisches Forschungsinstitut Oberwolfach, 2017-02-02)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
[OWP-2011-16] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-17)In our recent paper [3], we claimed that both the group algebra of a finite Coxeter group W as well as the Orlik-Solomon algebra of W can be decomposed into a sum of induced one-dimensional representations of centralizers, ... -
Inductive Freeness of Ziegler’s Canonical Multiderivations for Reflection Arrangements
[OWP-2017-14] (Mathematisches Forschungsinstitut Oberwolfach, 2017-04-30)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 ...