Browsing by Issue Date
Now showing items 1421-1440 of 1987
-
The Pseudo-Hyperresolution and Applications
[OWP-2017-17] (Mathematisches Forschungsinstitut Oberwolfach, 2017-07-04)Resolving objects in an abelian category by injective (projective) resolutions is a fundamental problem in mathematics, and this article aims at introducing a particular solution called “Pseudo-hyperresolutions”. This ... -
Counting Curves on Toric Surfaces Tropical Geometry & the Fock Space
[OWP-2017-18] (Mathematisches Forschungsinstitut Oberwolfach, 2017-07-17)We study the stationary descendant Gromov–Witten theory of toric surfaces by combining and extending a range of techniques – tropical curves, floor diagrams, and Fock spaces. A correspondence theorem is established between ... -
News on quadratic polynomials
[SNAP-2017-002-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2017-07-18)Many problems in mathematics have remained unsolved because of missing links between mathematical disciplines, such as algebra, geometry, analysis, or number theory. Here we introduce a recently discovered result concerning ... -
Reducing sub-modules of the Bergman module $\mathbb A^{(\lambda)}(\mathbb D^n)$ under the action of the symmetric group
[OWP-2017-19] (Mathematisches Forschungsinstitut Oberwolfach, 2017-07-20)The weighted Bergman spaces on the polydisc, $\mathbb A^{(\lambda)}(\mathbb D^n)$, $\lambda>0,$ splits into orthogonal direct sum of subspaces $\mathbb P_{\boldsymbol p}\big(\mathbb A^{(\lambda)}(\mathbb D^n)\big)$ indexed ... -
An Extension Problem and Trace Hardy Inequality for the Sublaplacian on H-Type Groups
[OWP-2017-20] (Mathematisches Forschungsinstitut Oberwolfach, 2017-07-24)In this paper we study the extension problem for the sublaplacian on a H-type group and use the solutions to prove trace Hardy and Hardy inequalities for fractional powers of the sublaplacian. -
The Minimal Resolution Conjecture on a general quartic surface in $\mathbb P^3$
[OWP-2017-21] (Mathematisches Forschungsinstitut Oberwolfach, 2017-07-27)Mustaţă has given a conjecture for the graded Betti numbers in the minimal free resolution of the ideal of a general set of points on an irreducible projective algebraic variety. For surfaces in $\mathbb P^3$ this conjecture ... -
Drogen, Herbizide und numerische Simulation
[SNAP-2014-010-DE] (Mathematisches Forschungsinstitut Oberwolfach, 2017-08)Die kolumbianische Regierung versprüht Unkrautbekämpfungsmittel (Herbizide) über Coca-Feldern, um die Drogenproduktion im Land zu reduzieren. Sprühverwehungen entlang der Grenze Kolumbiens zu Ecuador wurden zu einem ... -
Winkeltreue zahlt sich aus
[SNAP-2017-001-DE] (Mathematisches Forschungsinstitut Oberwolfach, 2017-08-23)Nicht nur Seefahrerinnen, auch Computergrafikerinnen und Physikerinnen wissen Winkeltreue zu schätzen. Doch beschränkte Rechenkapazitäten und Vereinfachungen in theoretischen Modellen erfordern es, winkeltreue Abbildungen ... -
GAP Functionality for Zariski Dense Groups
[OWP-2017-22] (Mathematisches Forschungsinstitut Oberwolfach, 2017-09-14)In this document we describe the functionality of GAP [4] routines for Zariski dense or arithmetic groups that are developed in [1, 2, 3]. The research underlying the software was supported through the programme "Research ... -
Aperiodic Order and Spectral Properties
[SNAP-2017-003-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2017-09-14)Periodic structures like a typical tiled kitchen floor or the arrangement of carbon atoms in a diamond crystal certainly possess a high degree of order. But what is order without periodicity? In this snapshot, we are ... -
Geometry of Free Loci and Factorization of Noncommutative Polynomials
[OWP-2017-23] (Mathematisches Forschungsinstitut Oberwolfach, 2017-10-02)The free singularity locus of a noncommutative polynomial f is defined to be the sequence $Z_n(f)=\{X\in M_n^g : \det f(X)=0\}$ of hypersurfaces. The main theorem of this article shows that f is irreducible if and only if ... -
Looking Back on Inverse Scattering Theory
[OWP-2017-24] (Mathematisches Forschungsinstitut Oberwolfach, 2017-10-05)We present an essay on the mathematical development of inverse scattering theory for time-harmonic waves during the past fifty years together with some personal memories of our participation in these events. -
Exact Rate of Convergence of k-Nearest-Neighbor Classification Rule
[OWP-2017-25] (Mathematisches Forschungsinstitut Oberwolfach, 2017-10-16)A binary classification problem is considered. The excess error probability of the k-nearest neighbor classification rule according to the error probability of the Bayes decision is revisited by a decomposition of the ... -
Mathematische Modellierung von Krebswachstum
[SNAP-2017-004-DE] (Mathematisches Forschungsinstitut Oberwolfach, 2017-10-17)Krebs ist eine der größten Herausforderungen der modernen Medizin. Der WHO zufolge starben 2012 weltweit 8,2 Millionen Menschen an Krebs. Bis heute sind dessen molekulare Mechanismen nur in Teilen verstanden, was eine ... -
Detecting Ineffective Features for Pattern Recognition
[OWP-2017-26] (Mathematisches Forschungsinstitut Oberwolfach, 2017-10-17)For a binary classification problem, the hypothesis testing is studied, that a component of the observation vector is not effective, i.e., that component carries no information for the classification. We introduce nearest ... -
Review of the Methods of Reflections
[OWP-2017-27] (Mathematisches Forschungsinstitut Oberwolfach, 2017-10-18)The methods of reflections were invented to obtain approximate solutions of the motion of more than one particle in a given environment, provided that one can represent the solution for one particle rather easily. This ... -
On an Effective Variation of Kronecker’s Approximation Theorem Avoiding Algebraic Sets
[OWP-2017-28] (Mathematisches Forschungsinstitut Oberwolfach, 2017-10-19)Let $\Lambda \subset \mathbb R^n$ be an algebraic lattice, coming from a projective module over the ring of integers of a number field $K$. Let $\mathcal Z \subset \mathbb R^n$ be the zero locus of a finite collection of ... -
The Colored Jones Polynomial and Kontsevich-Zagier Series for Double Twist Knots
[OWP-2017-29] (Mathematisches Forschungsinstitut Oberwolfach, 2017-10-20)Using a result of Takata, we prove a formula for the colored Jones polynomial of the double twist knots $K_{(-m,-p)}$ and $K_{(-m,p)}$ where $m$ and $p$ are positive integers. In the $(-m,-p)$ case, this leads to new ... -
Non-Extendability of Holomorphic Functions with Bounded or Continuously Extendable Derivatives
[OWP-2017-30] (Mathematisches Forschungsinstitut Oberwolfach, 2017-10-21)We consider the spaces $H_{F}^{\infty}(\Omega)$ and $\mathcal{A}_{F}(\Omega)$ containing all holomorphic functions $f$ on an open set $\Omega \subseteq \mathbb{C}$, such that all derivatives $f^{(l)}$, $l\in F \subseteq ... -
Molecular Quantum Dynamics
[SNAP-2017-006-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2017-10-24)We provide a brief introduction to some basic ideas of Molecular Quantum Dynamics. We discuss the scope, strengths and main applications of this field of science. Finally, we also mention open problems of current ...