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Unconditional Convergence of Spectral Decompositions of 1D Dirac Operators with Regular Boundary Conditions
[OWP201021] (Mathematisches Forschungsinstitut Oberwolfach, 20100319) 
A Uniform Model for KirillovReshetikhin Crystals I: Lifting the Parabolic Quantum Bruhat Graph
[OWP201218] (Mathematisches Forschungsinstitut Oberwolfach, 2012)We consider two lifts of the parabolic quantum Bruhat graph, one into the Bruhat order in the affine Weyl group and the other into a levelzero weight poset first considered by Littelmann. The lift into the affine Weyl ... 
Upper bounds for the number of solutions to quartic thue equations
[OWP201121] (Mathematisches Forschungsinstitut Oberwolfach, 2011)We will give upper bounds for the number of integral solutions to quartic Thue equations. Our main tool here is a logarithmic curve $\phi(x,y)$ that allows us to use the theory of linear forms in logarithms. This manuscript ... 
Upper tails for intersection local times of random walks in supercritical dimensions
[OWP200802] (Mathematisches Forschungsinstitut Oberwolfach, 20080306)We determine the precise asymptotics of the logarithmic upper tail probability of the total intersection local time of $p$ independent random walks in $\mathbb{Z}^d$ under the assumption $p(d2)>d$. Our approach allows a ... 
Urn Models & Operator Ordering Procedures
[OWP200806] (Mathematisches Forschungsinstitut Oberwolfach, 20080310)Ordering of operators is purely combinatorial task involving a number of commutators shuffling components of operator expression to desired form. Here we show how it can be illustrated by simple urn models in which normal ... 
The Varchenko Determinant of a Coxeter Arrangement
[OWP201733] (Mathematisches Forschungsinstitut Oberwolfach, 20171124)The Varchenko determinant is the determinant of a matrix defined from an arrangement of hyperplanes. Varchenko proved that this determinant has a beautiful factorization. It is, however, not possible to use this factorization ... 
Varieties of Invariant Subspaces Given by LittlewoodRichardson Tableaux
[OWP201401] (Mathematisches Forschungsinstitut Oberwolfach, 20140425)Given partitions $\alpha, \beta, \gamma$, the short exact sequences $0 \rightarrow N_\alpha \rightarrow N_\beta \rightarrow N_\gamma \rightarrow 0$ of nilpotent linear operators of Jordan types $\alpha, \beta, \gamma$, ... 
Vector bundles on degenerations of elliptic curves and YangBaxter equations
[OWP200704] (Mathematisches Forschungsinstitut Oberwolfach, 20070322)In this paper we introduce the notion of a gemetric associative rmatrix attached to a genus one fibration with a section and irreducible fibres. It allows us to study degenerations of solutions of the classical YangBaxter ... 
Very general monomial valuations of P2 and a Nagata type conjecture
[OWP201322] (Mathematisches Forschungsinstitut Oberwolfach, 20131029) 
Virtual Polytopes
[OWP201502] (Mathematisches Forschungsinstitut Oberwolfach, 20150410)Originating in diverse branches of mathematics, from polytope algebra and toric varieties to the theory of stressed graphs, virtual polytopes represent a natural algebraic generalization of convex polytopes. Introduced as ... 
Visual analysis of Spanish male mortality
[SNAP2015012ENSNAP2015012DE] (Mathematisches Forschungsinstitut Oberwolfach, 2015)[also available in German] Statistical visualization uses graphical methods to gain insights from data. Here we show how a technique called principal component analysis is used to analyze mortality in Spain over about the ... 
Weak Expansiveness for Actions of Sofic Groups
[OWP201405] (Mathematisches Forschungsinstitut Oberwolfach, 20140425)In this paper, we shall introduce $h$expansiveness and asymptotical $h$expansiveness for actions of sofic groups. By the definitions, each hexpansive action of sofic groups is asymptotically $h$expansive. We show that ... 
Weakduality based adaptive finite element methods for PDEconstrained optimization with pointwise gradient stateconstraints
[OWP201015] (Mathematisches Forschungsinstitut Oberwolfach, 2010)Adaptive finite element methods for optimization problems for second order linear elliptic partial di erential equations subject to pointwise constraints on the $\ell^2$norm of the gradient of the state are considered. ... 
Weakly Complex Homogeneous Spaces
[OWP201204] (Mathematisches Forschungsinstitut Oberwolfach, 20120424)We complete our recent classification of compact inner symmetric spaces with weakly complex tangent bundle by filling up a case which was left open, and extend this classification to the larger category of compact homogeneous ... 
Weighted Fourier inequalities for radial functions
[OWP200926] (Mathematisches Forschungsinstitut Oberwolfach, 20090319)Weighted $L^p(\mathbb{R}^n) \to L^q(\mathbb{R}^n)$ Fourier inequalities are studied. We prove PittBoas type results on integrability with power weights of the Fourier transform of a radial function. 
A WellPosedness Result for Viscous Compressible Fluids with Only Bounded Density
[OWP201810] (Mathematisches Forschungsinstitut Oberwolfach, 20180528)We are concerned with the existence and uniqueness of solutions with only bounded density for the barotropic compressible NavierStokes equations. Assuming that the initial velocity has slightly subcritical regularity and ... 
Wer ist Alexander Grothendieck?
(Mathematisches Forschungsinstitut Oberwolfach, 2006)The Oberwolfach Lecture "Wer ist Alexander Grothendieck" (in German) was held by Prof. Dr. Winfried Scharlau as a public lecture on occasion of the annual meeting of the Gesellschaft für Mathematische Forschung e.V. 2006 ... 
The Weyl group of the Curtz algebra
[OWP201131] (Mathematisches Forschungsinstitut Oberwolfach, 20110528)The Weyl group of the Cuntz algebra $\mathcal{O}_n$ is investigated. This is (isomorphic to) the group of polynomial automorphisms $\lambda_u$ of $\mathcal{O}_n$, namely those induced by unitaries u that can be written ... 
WeylTitchmarsh Functions of VectorValued SturmLiouville Operators on the Unit Interval
[OWP200813] (Mathematisches Forschungsinstitut Oberwolfach, 2008)The matrixvalued WeylTitchmarsh functions $M(\lambda)$ of vectorvalued SturmLiouville operators on the unit interval with the Dirichlet boundary conditions are considered. The collection of the eigenvalues (i.e., poles ... 
What does ">" really mean?
[SNAP2014004EN] (Mathematisches Forschungsinstitut Oberwolfach, 2014)This Snapshot is about the generalization of ">" from ordinary numbers to socalled fields. At the end, I will touch on some ideas in recent research.