Browsing 1 - Oberwolfach Preprints (OWP) by Title
Now showing items 372-391 of 406
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The Sylow Structure of Scalar Automorphism Groups
[OWP-2018-05] (Mathematisches Forschungsinstitut Oberwolfach, 2018-03-22)For any locally compact abelian periodic group A its automorphism group contains as a subgroup those automorphisms that leave invariant every closed subgroup of A, to be denoted by SAut(A). This subgroup is again a locally ... -
The T-Graph of a Multigraded Hilbert Scheme
[OWP-2011-34] (Mathematisches Forschungsinstitut Oberwolfach, 2011)The $T$-graph of a multigraded Hilbert scheme records the zero and one-dimensional orbits of the $T=(K^*)^n$ action on the Hilbert scheme induced from the $T$-action on $\mathbb{A}^n$. It has vertices the $T$-fixed points, ... -
Tensor Representations of q(∞)
[OWP-2016-09] (Mathematisches Forschungsinstitut Oberwolfach, 2016-06-17)We introduce a symmetric monoidal category of modules over the direct limit queer superalgebra $\mathfrak{q}(\infty)$. The category can be defined in two equivalent ways with the aid of the large annihilator condition. ... -
Theoretical Analysis and Simulation Methods for Hawkes Processes and their Diffusion Approximation
[OWP-2020-09] (Mathematisches Forschungsinstitut Oberwolfach, 2020-03-30)Oscillatory systems of interacting Hawkes processes with Erlang memory kernels were introduced in Ditlevsen and Löcherbach (2017). They are piecewise deterministic Markov processes (PDMP) and can be approximated by a ... -
There is a unique real tight contact 3-ball
[OWP-2010-01] (Mathematisches Forschungsinstitut Oberwolfach, 2010)We prove that there is a unique real tight contact structure on the 3-ball with convex boundary up to isotopy through real tight contact structures. We also give a partial classification of the real tight solid tori with ... -
Tilting on non-commutative rational projective curves
[OWP-2009-14] (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-08)In this article we introduce a new class of non-commutative projective curves and show that in certain cases the derived category of coherent sheaves on them has a tilting complex. In particular, we prove that the right ... -
Time and band limiting for matrix valued functions, an example
[OWP-2015-08] (Mathematisches Forschungsinstitut Oberwolfach, 2015-07-29)The main purpose of this paper is to extend to a situation involving matrix valued orthogonal polynomials and spherical functions, a result that traces its origin and its importance to work of Claude Shannon in laying the ... -
Time Discretization Schemes for Hyperbolic Systems on Networks by ε-Expansion
[OWP-2019-03] (Mathematisches Forschungsinstitut Oberwolfach, 2019-02-12)We consider partial differential equations on networks with a small parameter $\epsilon$, which are hyperbolic for $\epsilon>0$ and parabolic for $\epsilon=0$. With a combination of an $\epsilon$-expansion and Runge-Kutta ... -
Torsion-free Covers of Solvable Minimax Groups
[OWP-2015-15] (Mathematisches Forschungsinstitut Oberwolfach, 2015-11-18)We prove that every finitely generated solvable minimax group can be realized as a quotient of a torsion-free solvable minimax group. This result has an application to the investigation of random walks on finitely generated ... -
Totally Acyclic Complexes
[OWP-2016-14] (Mathematisches Forschungsinstitut Oberwolfach, 2016-08-17)We prove first (Proposition 3) that, over any ring $R$, an acyclic complex of projective modules is totally acyclic if and only if the cycles of every acyclic complex of Gorenstein projective modules are Gorenstein projective. ... -
Trivial Source Character Tables of SL2(q)
[OWP-2022-02] (Mathematisches Forschungsinstitut Oberwolfach, 2022-01-28)We compute the trivial source character tables (also called species tables of the trivial source ring) of the infinite family of finite groups SL(2,q) over a large enough field of positive characteristic $\ell$ via ... -
The Tutte Polynomial of Ideal Arrangements
[OWP-2018-28] (Mathematisches Forschungsinstitut Oberwolfach, 2018-12-21)The Tutte polynomial is originally a bivariate polynomial enumerating the colorings of a graph and of its dual graph. But it reveals more of the internal structure of the graph like its number of forests, of spanning ... -
Unconditional Convergence of Spectral Decompositions of 1D Dirac Operators with Regular Boundary Conditions
[OWP-2010-21] (Mathematisches Forschungsinstitut Oberwolfach, 2010-03-19) -
Unexpected Properties of the Klein Configuration of 60 Points in $\mathbb{P}^3$
[OWP-2020-19] (Mathematisches Forschungsinstitut Oberwolfach, 2020-10-07)Felix Klein in course of his study of the regular and its symmetries encountered a highly symmetric configuration of 60 points in $\mathbb{P}^3$. This configuration has appeared in various guises, perhaps post notably as ... -
A Uniform Model for Kirillov-Reshetikhin Crystals I: Lifting the Parabolic Quantum Bruhat Graph
[OWP-2012-18] (Mathematisches Forschungsinstitut Oberwolfach, 2012)We consider two lifts of the parabolic quantum Bruhat graph, one into the Bruhat order in the affine Weyl group and the other into a level-zero weight poset first considered by Littelmann. The lift into the affine Weyl ... -
Upper bounds for the number of solutions to quartic thue equations
[OWP-2011-21] (Mathematisches Forschungsinstitut Oberwolfach, 2011)We will give upper bounds for the number of integral solutions to quartic Thue equations. Our main tool here is a logarithmic curve $\phi(x,y)$ that allows us to use the theory of linear forms in logarithms. This manuscript ... -
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 ... -
Urn Models & Operator Ordering Procedures
[OWP-2008-06] (Mathematisches Forschungsinstitut Oberwolfach, 2008-03-10)Ordering of operators is purely combinatorial task involving a number of commutators shuffling components of operator expression to desired form. Here we show how it can be illustrated by simple urn models in which normal ... -
The Varchenko Determinant of a Coxeter Arrangement
[OWP-2017-33] (Mathematisches Forschungsinstitut Oberwolfach, 2017-11-24)The Varchenko determinant is the determinant of a matrix defined from an arrangement of hyperplanes. Varchenko proved that this determinant has a beautiful factorization. It is, however, not possible to use this factorization ... -
Varieties of Invariant Subspaces Given by Littlewood-Richardson Tableaux
[OWP-2014-01] (Mathematisches Forschungsinstitut Oberwolfach, 2014-04-25)Given partitions $\alpha, \beta, \gamma$, the short exact sequences $0 \rightarrow N_\alpha \rightarrow N_\beta \rightarrow N_\gamma \rightarrow 0$ of nilpotent linear operators of Jordan types $\alpha, \beta, \gamma$, ...