2016
2016
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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 ... -
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 ... -
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 ... -
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 ... -
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 ... -
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 ...