Browsing by MFO Scientific Program "Research in Pairs 2014"

Abundance of 3-Planes on Real Projective Hypersurfaces

[OWP-2014-14] Finashin, Sergey; Kharlamov, Viatcheslav (Mathematisches Forschungsinstitut Oberwolfach, 2014-11-11)

We show that a generic real projective n-dimensional hypersurface of odd degree $d$, such that $4(n-2)=\binom{d+3}{3}$, contains "many" real 3-planes, namely, in the logarithmic scale their number has the same rate of ...

Central Limit Theorems for the Radial Spanning Tree

[OWP-2014-18] Schulte, Matthias; Thäle, Christoph (Mathematisches Forschungsinstitut Oberwolfach, 2014)

Consider a homogeneous Poisson point process in a compact convex set in d-dimensional Euclidean space which has interior points and contains the origin. The radial spanning tree is constructed by connecting each point of ...

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 ...

Discrete Translates in Lp (R)

[OWP-2015-09] Olevskij, Aleksandr M.; Ulanovskii, Alexander (Mathematisches Forschungsinstitut Oberwolfach, 2015-06-18)

A set $\Lambda$ is called $p$-spectral if there is a function $g \in L^p (\mathbb{R})$ such that all $\Lambda$-translates $\{g(t-\lambda),\lambda \in \Lambda\}$ span $L^p(\mathbb{R})$. We prove that exponentially small ...

A Generalization of the Discrete Version of Minkowski’s Fundamental Theorem

[OWP-2014-17] González Merino, Bernardo; Henze, Matthias (Mathematisches Forschungsinstitut Oberwolfach, 2014)

One of the most fruitful results from Minkowski’s geometric viewpoint on number theory is his so called 1st Fundamental Theorem. It provides an optimal upper bound for the volume of an o-symmetric convex body whose only ...

Generalized Killing spinors and Lagrangian graphs

[OWP-2014-11] Moroianu, Andrei; Semmelmann, Uwe (Mathematisches Forschungsinstitut Oberwolfach, 2014-08-20)

We study generalized Killing spinors on the standard sphere $\mathbb{S}^3$, which turn out to be related to Lagrangian embeddings in the nearly Kähler manifold $S^3 \times S^3$ and to great circle flows on $\mathbb{S}^3$. ...

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 ...

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 $G_2$ invariants for virtual knots. The restriction of the sl(3) and $G_2$ invariants for classical knots coincides with the usual Homflypt sl(3) invariant and ...

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. ...

Instability of point defects in a two-dimensional nematic liquid crystal model

[OWP-2015-05] Ignat, Radu; Nguyen, Luc; Slastikov, Valeriy; Zarnescu, Arghir (Mathematisches Forschungsinstitut Oberwolfach, 2015-07-29)

We study a class of symmetric critical points in a variational 2$D$ Landau - de Gennes model where the state of nematic liquid crystals is described by symmetric traceless $3 \times 3$ matrices. These critical points play ...

Noncommutative Marked Surfaces

[OWP-2015-16] Berenstein, Arkady; Retakh, Vladimir (Mathematisches Forschungsinstitut Oberwolfach, 2015-11-18)

The aim of the paper is to attach a noncommutative cluster-like structure to each marked surface $\Sigma$. This is a noncommutative algebra $\mathcal{A}_\Sigma$ generated by “noncommutative geodesics” between marked points ...

Nonlinear Multi-Parameter Eigenvalue Problems for Systems of Nonlinear Ordinary Differential Equations Arising in Electromagnetics

[OWP-2014-15] Angermann, Lutz; Shestopalov, Yury V.; Smirnov, Yury G.; Yatsyk, Vasyl V. (Mathematisches Forschungsinstitut Oberwolfach, 2014-12-20)

We investigate a generalization of one-parameter eigenvalue problems arising in the theory of nonlinear waveguides to a more general nonlinear multiparameter eigenvalue problem for a nonlinear operator. Using an integral ...