• Gibbs measures associated to the integrals of motion of the periodic derivative nonlinear Schrödinger equation 

      [OWP-2015-04] Genovese, Giuseppe; Lucatti, Renato; Valeri, Daniele (Mathematisches Forschungsinstitut Oberwolfach, 2015-05-18)
      We study the one dimensional periodic derivative nonlinear Schrödinger (DNLS) equation. This is known to be a completely integrable system, in the sense that there is an infinite sequence of formal integrals of motion $\int ...
    • Global Solutions to Stochastic Wave Equations with Superlinear Coefficients 

      [OWP-2019-26] Millet, Annie; Sanz-Solé, Marta (Mathematisches Forschungsinstitut Oberwolfach, 2019-11-13)
      We prove existence and uniqueness of a random field solution (u(t,x);(t,x)[0,T]×Rd) to a stochastic wave equation in dimensions d=1,2,3 with diffusion and drift coefficients of the form $|x| ...
    • Global Variants of Hartogs' Theorem 

      [OWP-2018-24] Bochnak, Jacek; Kucharz, Wojciech (Mathematisches Forschungsinstitut Oberwolfach, 2018-11-06)
      Hartogs' theorem asserts that a separately holomorphic function, defined on an open subset of Cn, is holomorphic in all the variables. We prove a global variant of this theorem for functions defined on an open ...
    • Gradient Canyons, Concentration of Curvature, and Lipschitz Invariants 

      [OWP-2017-35] Paunescu, Laurentiu; Tibăr, Mihai-Marius (Mathematisches Forschungsinstitut Oberwolfach, 2017-12-13)
      We find new bi-Lipschitz invariants of holomorphic functions of two variables by using the gradient canyons and by combining analytic and geometric viewpoints on the concentration of curvature.
    • Graphical constructions for the sl(3), C2 and G2 invariants for virtual knots, virtual braids and free knots 

      [OWP-2015-13] Kauffman, Louis H.; Manturov, Vassily Olegovich (Mathematisches Forschungsinstitut Oberwolfach, 2015-07-31)
      We construct graph-valued analogues of the Kuperberg sl(3) and G2 invariants for virtual knots. The restriction of the sl(3) and G2 invariants for classical knots coincides with the usual Homflypt sl(3) invariant and ...
    • A graphical interface for the Gromov-Witten theory of curves 

      [OWP-2016-06] Cavalieri, Renzo; Johnson, Paul; Markwig, Hannah; Ranganathan, Dhruv (Mathematisches Forschungsinstitut Oberwolfach, 2016-05-10)
      We explore the explicit relationship between the descendant Gromov–Witten theory of target curves, operators on Fock spaces, and tropical curve counting. We prove a classical/tropical correspondence theorem for descendant ...
    • Grassmannian connection between three- and four-qubit observables, Mermin's contextualities and black holes 

      [OWP-2013-17] Lévay, Péter; Planat, Michel; Saniga, Metod (Mathematisches Forschungsinstitut Oberwolfach, 2013-07-23)
      We invoke some ideas from finite geometry to map bijectively 135 heptads of mutually commuting three-qubit observables into 135 symmetric four-qubit ones. After labeling the elements of the former set in terms of a ...
    • Ground State of Bose Gases Interacting through Singular Potentials 

      [OWP-2023-18] Boßmann, Lea; Leopold, Nikolai; Petrat, Sören; Rademacher, Simone (Mathematisches Forschungsinstitut Oberwolfach, 2023-11-27)
      We consider a system of N bosons on the three-dimensional unit torus. The particles interact through repulsive pair interactions of the form N3β1v(Nβx) for β(0,1). We prove the next order correction to ...
    • Group Algebras of Compact Groups. A New Way of Producing Group Hopf Algebras over Real and Complex Fields: Weakly Complete Topological Vector Spaces 

      [OWP-2019-06] Hofmann, Karl Heinrich; Kramer, Linus (Mathematisches Forschungsinstitut Oberwolfach, 2019-02-27)
      Weakly complete real or complex associative algebras A are necessarily projective limits of finite dimensional algebras. Their group of units A1 is a pro-Lie group with the associated topological Lie algebra $A_{\rm ...
    • Group-Graded Rings Satisfying the Strong Rank Condition 

      [OWP-2019-22] Kropholler, Peter H.; Lorensen, Karl (Mathematisches Forschungsinstitut Oberwolfach, 2019-08-16)
      A ring R satisfies the strong rank condition (SRC) if, for every natural number n, the free R-submodules of Rn all have rank n. Let G be a group and R a ring strongly graded by G such that ...
    • Groups with Spanier-Whitehead Duality 

      [OWP-2019-23] Nishikawa, Shintaro; Proietti, Valerio (Mathematisches Forschungsinstitut Oberwolfach, 2019-09-17)
      We introduce the notion of Spanier-Whitehead K-duality for a discrete group G, defined as duality in the KK-category between two C-algebras which are naturally attached to the group, namely the reduced group ...
    • Hecke duality relations of Jacobi forms 

      [OWP-2008-03] Bringmann, Kathrin; Heim, Bernhard (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] Blasiak, Pawel; Duchamp, Gérard H. E.; Horzela, Andrzej; Penson, Karol A.; Solomon, Allan I. (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] Afshari, Bahareh; Hetzl, Stefan; Leigh, Graham E. (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 πvF, where F is quantifier free, an ...
    • Higher Finiteness Properties of Reductive Arithmetic Groups in Positive Characteristic: the Rank Theorem 

      [OWP-2011-05] Bux, Kai-Uwe; Köhl, Ralf; Witzel, Stefan (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-8)
      We show that the finiteness length of an S-arithmetic subgroup Γ in a noncommutative isotropic absolutely almost simple group 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] Macías-Virgós, Enrique; Strom, Jeffrey; Tanré, Daniel; Oprea, John (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] Bruggeman, Roelof W.; Ch'oe, Yŏng-ju; Diamantis, Nikolaos (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 G2-Manifolds 

      [OWP-2017-07] Fino, Anna; Kath, Ines (Mathematisches Forschungsinstitut Oberwolfach, 2017-03-07)
      We classify the holonomy algebras of manifolds admitting an indecomposable torsion free G2-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] Gaudiello, Antonio; Mel'nyk, Taras A. (Mathematisches Forschungsinstitut Oberwolfach, 2018-04-16)
      We consider a domain ΩεRN, N2, with a very rough boundary depending on~ε. For instance, if N=3 the domain Ωε has the form of a brush with an ...
    • Homological properties of piecewise hereditary algebras 

      [OWP-2009-11] Happel, Dieter; Zacharia, Dan (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-05)
      Let Λ be a finite dimensional algebra over an algebraically closed field k. We will investigate homological properties of piecewise hereditary algebras Λ. In particular we give lower and upper bounds of ...