Now showing items 1-8 of 8

• #### l-Torsion Bounds for the Class Group of Number Fields with an l -Group as Galois Group ﻿

[OWP-2020-11] (Mathematisches Forschungsinstitut Oberwolfach, 2020-05-04)
We describe the relations among the $\ell$-torsion conjecture for $\ell$-extensions, the discriminant multiplicity conjecture for nilpotent extensions and a conjecture of Malle giving an upper bound for the number of ...
• #### Maximal Quaternion Orders in Quadratic Extensions - in Hurwitz’s Diaries ﻿

[OWP-2020-16] (Mathematisches Forschungsinstitut Oberwolfach, 2020-08-03)
We present and comment on some unpublished work of Adolf Hurwitz on quaternion arithmetic from his diaries.
• #### Multivariate Hybrid Orthogonal Functions ﻿

[OWP-2020-04] (Mathematisches Forschungsinstitut Oberwolfach, 2020-03-12)
We consider multivariate orthogonal functions satisfying hybrid orthogonality conditions with respect to a moment functional. This kind of orthogonality means that the product of functions of different parity order ...
• #### Nonexistence of Subcritical Solitary Waves ﻿

[OWP-2020-06] (Mathematisches Forschungsinstitut Oberwolfach, 2020-03-15)
We prove the nonexistence of two-dimensional solitary gravity water waves with subcritical wave speeds and an arbitrary distribution of vorticity. This is a longstanding open problem, and even in the irrotational case there ...
• #### Rational Functions with Small Value Set ﻿

[OWP-2020-05] (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 ...
• #### Singularities and Bifurcations of Pseudospherical Surfaces ﻿

[OWP-2020-08] (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 ...
• #### Space-Time Euler Discretization Schemes for the Stochastic 2D Navier-Stokes Equations ﻿

[OWP-2020-12] (Mathematisches Forschungsinstitut Oberwolfach, 2020-05-06)
We prove that the implicit time Euler scheme coupled with finite elements space discretization for the 2D Navier-Stokes equations on the torus subject to a random perturbation converges in $L^2(\Omega)$, and describe the ...
• #### Splitting Necklaces, with Constraints ﻿

[OWP-2020-03] (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 ...