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Fast Solvers for Highly Oscillatory Problems
[SNAP2018006EN] (Mathematisches Forschungsinstitut Oberwolfach, 20180626)Waves of diverse types surround us. Sound, light and other waves, such as microwaves, are crucial for speech, mobile phones, and other communication technologies. Elastic waves propagating through the Earth bounce ... 
Festschrift zum 60jährigen Jubiläum / Mathematisches Forschungsinstitut Oberwolfach ; 1944  2004
(Mathematisches Forschungsinstitut Oberwolfach gGmbH, 2006)The Festschrift that marks the 60th anniversary of the MFO in July 2004 includes many interesting contributions, documents and pictures, where we would like to put your special focus on the lecture of Mr Bourguigon and on ... 
A few shades of interpolation
[SNAP2017007EN] (Mathematisches Forschungsinstitut Oberwolfach, 20171207)The topic of this snapshot is interpolation. In the ordinary sense, interpolation means to insert something of a different nature into something else. In mathematics, interpolation means constructing new data points ... 
Fibonaccilike unimodal inverse limit spaces
[OWP201003] (Mathematisches Forschungsinstitut Oberwolfach, 2010039)We study the structure of inverse limit space of socalled Fibonaccilike tent maps. The combinatorial constraints implied by the Fibonaccilike assumption allows us to introduce certain chains that enable a more detailed ... 
Finitary Proof Systems for Kozen's μ
[OWP201626] (Mathematisches Forschungsinstitut Oberwolfach, 20161230)We present three finitary cutfree sequent calculi for the modal $μ$calculus. Two of these derive annotated sequents in the style of Stirling’s ‘tableau proof system with names’ (2014) and feature special inferences that ... 
FokusErkennung bei Epilepsiepatienten mithilfe moderner Verfahren der Zeitreihenanalyse
[SNAP2016008DE] (Mathematisches Forschungsinstitut Oberwolfach, 2016)Viele epileptische Anfälle entstehen in einer begrenzten Region im Gehirn, dem sogenannten Anfallsursprung. Eine chirurgische Entfernung dieser Region kann in vielen Fällen zu Anfallsfreiheit führen. Aus diesem Grund ist ... 
Footballs and donuts in four dimensions
[SNAP2016012EN] (Mathematisches Forschungsinstitut Oberwolfach, 2016)In this snapshot, we explore connections between the mathematical areas of counting and geometry by studying objects called simplicial complexes. We begin by exploring many familiar objects in our three dimensional world ... 
Formal adjoints of linear DAE operators and their role in optimal control
[OWP201115] (Mathematisches Forschungsinstitut Oberwolfach, 20110516)For regular strangenessfree linear differentialalgebraic equations (DAEs) the definition of an adjoint DAE is straightforward. This definition can be formally extended to general linear DAEs. In this paper, we analyze ... 
Formal punctured ribbons and twodimensional local fields
[OWP200801] (Mathematisches Forschungsinstitut Oberwolfach, 20080305)We investigate formal ribbons on curves. Roughly speaking, formal ribbon is a family of locally linearly compact vector spaces on a curve. We establish a onetoone correspondence between formal ribbons on curves plus some ... 
FourierMukai transform on Weierstrass cubics and commuting differential operators
[OWP201603] (Mathematisches Forschungsinstitut Oberwolfach, 20160510)In this article, we describe the spectral sheaves of algebras of commuting differential operators of genus one and rank two with singular spectral curve, solving a problem posed by Previato and Wilson. We also classify all ... 
Freeness of MultiReflection Arrangements via Primitive Vector Fields
[OWP201710] (Mathematisches Forschungsinstitut Oberwolfach, 20170420)In 2002, Terao showed that every reflection multiarrangement of a real reflection group with constant multiplicity is free by providing a basis of the module of derivations. We first generalize Terao's result to ... 
Friezes and tilings
[SNAP2015004EN] (Mathematisches Forschungsinstitut Oberwolfach, 2015)Friezes have occured as architectural ornaments for many centuries. In this snapshot, we consider the mathematical analogue of friezes as introduced in the 1970s by Conway and Coxeter. Recently, infinite versions of such ... 
From computer algorithms to quantum field theory: an introduction to operads
[SNAP2015017EN] (Mathematisches Forschungsinstitut Oberwolfach, 2015)An operad is an abstract mathematical tool encoding operations on specific mathematical structures. It finds applications in many areas of mathematics and related fields. This snapshot explains the concept of an operad and ... 
A Function Algebra Providing New Mergelyan Type Theorems in Several Complex Variables
[OWP201902] (Mathematisches Forschungsinstitut Oberwolfach, 20190211)For compact sets $K\subset \mathbb C^{d}$, we introduce a subalgebra $A_{D}(K)$ of $A(K)$, which allows us to obtain Mergelyan type theorems for products of planar compact sets as well as for graphs of functions. 
Gcomplete reducibility in nonconnected groups
[OWP201309] (Mathematisches Forschungsinstitut Oberwolfach, 20130410)In this paper we present an algorithm for determining whether a subgroup $H$ of a nonconnected reductive group $G$ is $G$completely reducible. The algorithm consists of a series of reductions; at each step, we perform ... 
GAP Functionality for Zariski Dense Groups
[OWP201722] (Mathematisches Forschungsinstitut Oberwolfach, 20170914)In this document we describe the functionality of GAP [4] routines for Zariski dense or arithmetic groups that are developed in [1, 2, 3]. The research underlying the software was supported through the programme "Research ... 
A Generalization of the Discrete Version of Minkowski’s Fundamental Theorem
[OWP201417] (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 osymmetric convex body whose only ... 
Generalized Entropy Method for the Renewal Equation with Measure Data
[OWP201607] (Mathematisches Forschungsinstitut Oberwolfach, 20160617)We study the longtime asymptotics for the socalled McKendrickVon Foerster or renewal equation, a simple model frequently considered in structured population dynamics. In contrast to previous works, we can admit a bounded ... 
Generalized Killing spinors and Lagrangian graphs
[OWP201411] (Mathematisches Forschungsinstitut Oberwolfach, 20140820)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 $\mathbb{S}^3$. ... 
Generalized Vector Cross Products and Killing Forms on Negatively Curved Manifolds
[OWP201817] (Mathematisches Forschungsinstitut Oberwolfach, 20180717)Motivated by the study of Killing forms on compact Riemannian manifolds of negative sectional curvature, we introduce the notion of generalized vector cross products on $\mathbb{R}^n$ and give their classification. Using ...