Now showing items 1-6 of 6

• #### Abundance of 3-Planes on Real Projective Hypersurfaces ﻿

[OWP-2014-14] (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] (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 ...
• #### A Generalization of the Discrete Version of Minkowski’s Fundamental Theorem ﻿

[OWP-2014-17] (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] (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 $\mathbb{S}^3$. ...
• #### Holomorphic automorphic forms and cohomology ﻿

[OWP-2014-07] (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. ...
• #### Nonlinear Multi-Parameter Eigenvalue Problems for Systems of Nonlinear Ordinary Differential Equations Arising in Electromagnetics ﻿

[OWP-2014-15] (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 ...