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Now showing items 11-20 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 ...
Spherical Arc-Length as a Global Conformal Parameter for Analytic Curves in the Riemann Sphere
[OWP-2016-21] (Mathematisches Forschungsinstitut Oberwolfach, 2016-11-11)
We prove that for every analytic curve in the complex plane $\mathbb{C}$, Euclidean and spherical arc-lengths are global conformal parameters. We also prove that for any analytic curve in the hyperbolic plane, hyperbolic ...
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 ...
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 ...
The Berry-Keating Operator on a Lattice
[OWP-2016-23] (Mathematisches Forschungsinstitut Oberwolfach, 2016-11-17)
We construct and study a version of the Berry-Keating operator with a built-in truncation of the phase space, which we choose to be a two-dimensional torus. The operator is a Weyl quantisation of the classical Hamiltonian ...
Finitary Proof Systems for Kozen's μ
[OWP-2016-26] (Mathematisches Forschungsinstitut Oberwolfach, 2016-12-30)
We present three finitary cut-free sequent calculi for the modal $μ$-calculus. Two of these derive annotated sequents in the style of Stirling’s ‘tableau proof system with names’ (2014) and feature special inferences that ...
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 ...
The Initial and Terminal Cluster Sets of an Analytic Curve
[OWP-2016-25] (Mathematisches Forschungsinstitut Oberwolfach, 2016-12-21)
For an analytic curve $\gamma : (a,b) \to \mathbb{C}$, the set of values approaches by $\gamma(t)$, as $t ↘a$ and as $t↗b$ can be any two continuua of $\mathbb{C} \cup \{\infty\}$.