• The Colored Jones Polynomial and Kontsevich-Zagier Series for Double Twist Knots 

      [OWP-2017-29] Lovejoy, Jeremy; Osburn, Robert (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 ...
    • Combinatorics of Vassiliev invariants 

      [OWP-2011-22] Chmutov, Sergei (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-20)
      This paper is an introductory survey of the combinatorial aspects of the Vassiliev theory of knot invariants following the lectures delivered at the Advanced School on Knot Theory and its Applications to Physics and Biology ...
    • Commuting Differential Operators and Higher-dimensional Algebraic Varieties 

      [OWP-2012-02] Kurke, Herbert; Osipov, Denis; Zheglov, Alexander (Mathematisches Forschungsinstitut Oberwolfach, 2012-03-20)
      Several algebro-geometric properties of commutative rings of partial differential operators as well as several geometric constructions are investigated.
    • Composition of Irreducible Morphisms in Coils 

      [OWP-2017-32] Chaio, Claudia; Malicki, Piotr (Mathematisches Forschungsinstitut Oberwolfach, 2017-10-30)
      We study the non-zero composition of n irreducible morphisms between modules lying in coils in relation with the powers of the radical of their module category.
    • Composition of Irreducible Morphisms in Quasi-Tubes 

      [OWP-2015-03] Chaio, Claudia; Malicki, Piotr (Mathematisches Forschungsinstitut Oberwolfach, 2015-04-09)
      We study the composition of irreducible morphisms between indecomposable modules lying in quasi-tubes of the Auslander-Reiten quivers of artin algebras $A$ in relation with the powers of the radical of their module category ...
    • Computer Algebra with GAP 

      [OWP-2023-03] Piterman, Kevin I.; Vendramin, Leandro (Mathematisches Forschungsinstitut Oberwolfach, 2023-04-13)
      This monograph includes the following topics: a basic introduction to the language, basic arithmetic, permutations, matrices, polynomial rings, finite fields, finite and finitely presented groups, small groups, group ...
    • Computing Congruence Quotients of Zariski Dense Subgroups 

      [OWP-2018-22] Detinko, Alla; Flannery, Dane; Hulpke, Alexander (Mathematisches Forschungsinstitut Oberwolfach, 2018-10-26)
      We obtain a computational realization of the strong approximation theorem. That is, we develop algorithms to compute all congruence quotients modulo rational primes of a finitely generated Zariski dense group $H \leq ...
    • Congruences Associated with Families of Nilpotent Subgroups and a Theorem of Hirsch 

      [OWP-2019-16] Aivazidis, Stefanos; Müller, Thomas (Mathematisches Forschungsinstitut Oberwolfach, 2019-05-27)
      Our main result associates a family of congruences with each suitable system of nilpotent subgroups of a finite group. Using this result, we complete and correct the proof of a theorem of Hirsch concerning the class number ...
    • A construction of hyperbolic Coxeter groups 

      [OWP-2010-04] Osajda, Damian (Mathematisches Forschungsinstitut Oberwolfach, 2010)
      We give a simple construction of Gromov hyperbolic Coxeter groups of arbitrarily large virtual cohomological dimension. Our construction provides new examples of such groups. Using this one can construct e.g. new groups ...
    • The contact polytope of the leech lattice 

      [OWP-2009-18] Dutour Sikirić, Mathieu; Schürmann, Achill; Vallentin, Frank (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-12)
      The contact polytope of a lattice is the convex hull of its shortest vectors. In this paper we classify the facets of the contact polytope of the Leech lattice up to symmetry. There are 1, 197, 362, 269, 604, 214, 277, 200 ...
    • Contractive Idempotents on Locally Compact Quantum Groups 

      [OWP-2012-19] Neufang, Matthias; Salmi, Pekka; Skalski, Adam; Spronk, Nico (Mathematisches Forschungsinstitut Oberwolfach, 2012)
      A general form of contractive idempotent functionals on coamenable locally compact quantum groups is obtained, generalising the result of Greenleaf on contractive measures on locally compact groups. The image of a convolution ...
    • Control of Volterra systems with scalar kernels 

      [OWP-2009-16] Haak, Bernhard Hermann; Jacob, Birgit (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-10)
      Volterra observations systems with scalar kernels are studied. New sufficient conditions for admissibility of observation operators are developed and some examples are discussed.
    • Convergence and Error Analysis of Compressible Fluid Flows with Random Data: Monte Carlo Method 

      [OWP-2022-15] Feireisl, Eduard; Lukáčova-Medviďová, Mariá; She, Bangwei; Yuan, Yuhuan (Mathematisches Forschungsinstitut Oberwolfach, 2022-08-25)
      The goal of this paper is to study convergence and error estimates of the Monte Carlo method for the Navier-Stokes equations with random data. To discretize in space and time, the Monte Carlo method is combined with a ...
    • Convolution in Dual Cesàro Sequence Spaces 

      [OWP-2022-20] Curbera, Guillermo P.; Ricker, Werner J. (Mathematisches Forschungsinstitut Oberwolfach, 2022-12-16)
      We investigate convolution operators in the sequence spaces $d_p$, for 1 $\leqslant p<\infty$. These spaces, for $p$ > 1, arise as dual spaces of the Cesàro sequence spaces $ces_p$ thoroughly investigated by G. Bennett. A ...
    • Coorbit Spaces and Dual Molecules: the Quasi-Banach Case 

      [OWP-2022-08] Van Velthoven, Jordy Timo; Voigtlaender, Felix (Mathematisches Forschungsinstitut Oberwolfach, 2022-05-27)
      This paper provides a self-contained exposition of coorbit spaces associated with integrable group representations and quasi-Banach function spaces. It extends the theory in [Studia Math., 180(3):237–253, 2007] to locally ...
    • Counting Curves on Toric Surfaces Tropical Geometry & the Fock Space 

      [OWP-2017-18] Cavalieri, Renzo; Johnson, Paul; Markwig, Hannah; Ranganathan, Dhruv (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 ...
    • Coxeter Arrangements and Solomon's Descent Algebra 

      [OWP-2011-03] Douglass, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-6)
    • Criteria for Algebraicity of Analytic Functions 

      [OWP-2018-25] Bochnak, Jacek; Gwoździewicz, Janusz; Kucharz, Wojciech (Mathematisches Forschungsinstitut Oberwolfach, 2018-11-12)
      We consider functions defined on an open subset of a nonsingular, either real or complex, algebraic set. We give criteria for an analytic function to be a Nash (resp. regular, resp. polynomial) function. Our criteria depend ...
    • Cryptanalysis of Public-key Cryptosystems Based on Algebraic Geometry Codes 

      [OWP-2012-01] Márquez-Corbella, Irene; Martínez-Moro, Edgar; Pellikaan, Ruud (Mathematisches Forschungsinstitut Oberwolfach, 2012-03-20)
      This paper addresses the question of retrieving the triple $(\mathcal{X},\mathcal{P},\mathcal{E})$ from the algebraic geometry code $\mathcal{C}_L(\mathcal{X},\mathcal{P},\mathcal{E})$, where $\mathcal{X}$ is an algebraic ...
    • Crystal energy functions via the charge in types A and C 

      [OWP-2011-25] Lenart, Cristian; Schilling, Anne (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-23)
      The Ram-Yip formula for Macdonald polynomials (at $t=0$) provides a statistic which we call charge. In types $A$ and $C$ it can be defined on tensor products of Kashiwara-Nakashima single column crystals. In this ...