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How Quantum Information Can Improve Social Welfare

[OWP-2020-13] Groisman, Berry; Mc Gettrick, Michael; Mhalla, Mehdi; Pawlowski, Marcin (Mathematisches Forschungsinstitut Oberwolfach, 2020-07-16)

In [2, 18, 5, 19, 4] it has been shown that quantum resources can allow us to achieve a family of equilibria that can have sometimes a better social welfare, while guaranteeing privacy. We use graph games to propose ...

Splitting Necklaces, with Constraints

[OWP-2020-03] Jojic, Dusko; Panina, Gaiane; Zivaljevic, Rade (Mathematisches Forschungsinstitut Oberwolfach, 2020-02-11)

We prove several versions of Alon's "necklace-splitting theorem", subject to additional constraints, as illustrated by the following results. (1) The "almost equicardinal necklace-splitting theorem" claims that, without ...

Positive Line Bundles Over the Irreducible Quantum Flag Manifolds

[OWP-2020-01] Díaz García, Fredy; Krutov, Andrey; Ó Buachalla, Réamonn; Somberg, Petr; Strung, Karen R. (Mathematisches Forschungsinstitut Oberwolfach, 2020-02-03)

Noncommutative Kähler structures were recently introduced by the third author as a framework for studying noncommutative Kähler geometry on quantum homogeneous spaces. It was subsequently observed that the notion of a ...

Unexpected Properties of the Klein Configuration of 60 Points in $\mathbb{P}^3$

[OWP-2020-19] Pokora, Piotr; Szemberg, Tomasz; Szpond, Justyna (Mathematisches Forschungsinstitut Oberwolfach, 2020-10-07)

Felix Klein in course of his study of the regular and its symmetries encountered a highly symmetric configuration of 60 points in

$\mathbb{P}^3$ . This configuration has appeared in various guises, perhaps post notably as ...

Singularities and Bifurcations of Pseudospherical Surfaces

[OWP-2020-08] Brander, David; Tari, Farid (Mathematisches Forschungsinstitut Oberwolfach, 2020-03-17)

We study singularities and bifurcations of constant negative curvature surfaces in Euclidean 3-space via their association with Lorentzian harmonic maps. This preprint presents the basic results on this, the full proofs ...

Rational Functions with Small Value Set

[OWP-2020-05] Bartoli, Daniele; Borges, Herivelto; Quoos, Luciane (Mathematisches Forschungsinstitut Oberwolfach, 2020-03-14)

In connection with Galois Theory and Algebraic Curves, this paper investigates rational functions

$h(x) = f(x)/g(x) \in \mathbb{F}_q(x)$ for which the value set

$V_h = {\{h(α) | α \in \mathbb{F}_q \cup\{\infty\}}\}$ is ...

$A$ over a field

$F$ , a subring

$E \subseteq F$ and an octonion

$E$ -algebra

$R$ inside

$A$ , the set

$S$ of polynomials

$f(x) \in A[x]$ satisfying

$f(R) \subseteq R$ ...

Hopf Algebras in Combinatorics, Volume 2

[OWP-2020-15] Grinberg, Darij; Reiner, Victor (Mathematisches Forschungsinstitut Oberwolfach, 2020-07-30)