Now showing items 1-20 of 26

• #### Real group orbits on flag ind-varieties of SL (∞, C) ﻿

[OWP-2016-01] (Mathematisches Forschungsinstitut Oberwolfach, 2016-05-10)
We consider the complex ind-group $G=SL (\infty, \mathbb{C})$ and its real forms $G^0=SU(\infty,\infty)$, $SU(p,\infty)$, $SL(\infty,\mathbb{R})$, $SL(\infty,\mathbb{H})$. Our main object of study are the $G^0$-orbits on ...
• #### A graphical interface for the Gromov-Witten theory of curves ﻿

[OWP-2016-06] (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 ...
• #### On densities of lattice arrangements intersecting every i-dimensional affine subspace ﻿

[OWP-2016-08] (Mathematisches Forschungsinstitut Oberwolfach, 2016-05-10)
In 1978, Makai Jr. established a remarkable connection between the volume-product of a convex body, its maximal lattice packing density and the minimal density of a lattice arrangement of its polar body intersecting every ...
• #### Yet another algorithm for the symmetric eigenvalue problem ﻿

[OWP-2016-02] (Mathematisches Forschungsinstitut Oberwolfach, 2016-05-10)
In this paper we present a new algorithm for solving the symmetric matrix eigenvalue problem that works by first using a Cayley transformation to convert the symmetric matrix into a unitary one and then uses Gragg’s ...
• #### Fourier-Mukai transform on Weierstrass cubics and commuting differential operators ﻿

[OWP-2016-03] (Mathematisches Forschungsinstitut Oberwolfach, 2016-05-10)
In this article, we describe the spectral sheaves of algebras of commuting differential operators of genus one and rank two with singular spectral curve, solving a problem posed by Previato and Wilson. We also classify all ...
• #### Regularity and energy conservation for the compressible Euler equations ﻿

[OWP-2016-04] (Mathematisches Forschungsinstitut Oberwolfach, 2016-05-10)
We give sufficient conditions on the regularity of solutions to the inhomogeneous incompressible Euler and the compressible isentropic Euler systems in order for the energy to be conserved. Our strategy relies on commutator ...
• #### 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. ...
• #### Legendrian Lens Space Surgeries ﻿

[OWP-2016-10] (Mathematisches Forschungsinstitut Oberwolfach, 2016-06-17)
We show that every tight contact structure on any of the lens spaces $L(ns^2 - s + 1,s^2)$ with $n\geq 2, s \geq 1$, can be obtained by a single Legendrian surgery along a suitable Legendrian realisation of the negative ...
• #### Plethystic Vertex Operators and Boson-Fermion Correspondences ﻿

[OWP-2016-11] (Mathematisches Forschungsinstitut Oberwolfach, 2016-06-17)
We study the algebraic properties of plethystic vertex operators, introduced in J. Phys. A: Math. Theor. 43 405202 (2010), underlying the structure of symmetric functions associated with certain generalized universal ...
• #### Rational Approximation on Products of Planar Domains ﻿

[OWP-2016-05] (Mathematisches Forschungsinstitut Oberwolfach, 2016-06-17)
We consider $A(\Omega)$, the Banach space of functions $f$ from $\overline{\Omega}=\prod_{i \in I} \overline{U_i}$ to $\mathbb{C}$ that are continuous with respect to the product topology and separately holomorphic, where ...
• #### Generalized Entropy Method for the Renewal Equation with Measure Data ﻿

[OWP-2016-07] (Mathematisches Forschungsinstitut Oberwolfach, 2016-06-17)
We study the long-time asymptotics for the so-called McKendrick-Von Foerster or renewal equation, a simple model frequently considered in structured population dynamics. In contrast to previous works, we can admit a bounded ...
• #### Dirichlet Approximation and Universal Dirichlet ﻿

[OWP-2016-12] (Mathematisches Forschungsinstitut Oberwolfach, 2016-08-16)
We characterize the uniform limits of Dirichlet polynomials on a right half plane. We extend the approximation theorems of Runge, Mergelyan and Vitushkin to the Dirichlet setting with respect to the Euclidean distance and ...
• #### On Local Combinatorial Formulas for Chern Classes of Triangulated Circle Bundle ﻿

[OWP-2016-16] (Mathematisches Forschungsinstitut Oberwolfach, 2016-08-17)
Principal circle bundle over a PL polyhedron can be triangulated and thus obtains combinatorics. The triangulation is assembled from triangulated circle bundles over simplices. To every triangulated circle bundle over a ...
• #### On the L2 Markov Inequality with Laguerre Weight ﻿

[OWP-2016-15] (Mathematisches Forschungsinstitut Oberwolfach, 2016-08-17)
• #### 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. ...
• #### Analytic Structure in Fibers ﻿

[OWP-2016-13] (Mathematisches Forschungsinstitut Oberwolfach, 2016-08-17)
Let $B_X$ be the open unit ball of a complex Banach space $X$, and let $\mathcal{H}^\infty(B_X)$ and $\mathcal{A}_u(B_X)$ be, respectively, the algebra of bounded holomorphic functions on $B_X$ and the subalgebra of uniformly ...
• #### Getzler rescaling via adiabatic deformation and a renormalized local index formula ﻿

[OWP-2016-18] (Mathematisches Forschungsinstitut Oberwolfach, 2016-10)
We prove a local index theorem of Atiyah-Singer type for Dirac operators on manifolds with a Lie structure at infinity (Lie manifolds for short). After introducing a renormalized supertrace on Lie manifolds with spin ...
• #### Late-Time Behaviour of Israel Particles in a FLRW Spacetime with Λ>0 ﻿

[OWP-2016-19] (Mathematisches Forschungsinstitut Oberwolfach, 2016-10)
In this paper we study the relativistic Boltzmann equation in a spatially flat FLRW space-time. We consider Israel particles, which are the relativistic counterpart of the Maxwellian particles, and obtain global-in-time ...
• #### Alexander r-Tuples and Bier Complexes ﻿

[OWP-2016-17] (Mathematisches Forschungsinstitut Oberwolfach, 2016-10)
We introduce and study Alexander $r$-Tuples $\mathcal{K} = \langle K_i \rangle ^r_{i=1}$ of simplicial complexes, as a common generalization of pairs of Alexander dual complexes (Alexander 2-tuples) and r-unavoidable ...
• #### Killing Tensors on Tori ﻿

[OWP-2016-20] (Mathematisches Forschungsinstitut Oberwolfach, 2016-11-10)
We show that Killing tensors on conformally at n-dimensional tori whose conformal factor only depends on one variable, are polynomials in the metric and in the Killing vector fields. In other words, every first integral ...