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0513  Free Probability Theory
[OWR200515] (2005)  (27 Mar  02 Apr 2005)Free probability theory is a line of research which parallels aspects of classical probability, in a noncommutative context where tensor products are replaced by free products, and independent random variables are replaced ... 
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 ... 
1310  From "Mixed" to "Applied" Mathematics: Tracing an important dimension of mathematics and its history
[OWR201312] (2013)  (03 Mar  09 Mar 2013)The workshop investigated historical variations of the ways in which historically boundaries were drawn between ‘pure’ mathematics on the one hand and ‘mixed’ or ‘applied’ mathematics on the other from about 1500 until ... 
From Betti numbers to ℓ²Betti numbers
[SNAP2020001EN] (Mathematisches Forschungsinstitut Oberwolfach, 20200415)We provide a leisurely introduction to ℓ²Betti numbers, which are topological invariants, by relating them to their much older cousins, Betti numbers. In the end we present an open research problem about ℓ²Betti numbers. 
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 ... 
From the dollar game to the RiemannRoch Theorem
[SNAP2021001EN] (Mathematisches Forschungsinstitut Oberwolfach, 20210223)What is the dollar game? What can you do to win it? Can you always win it? In this snapshot you will find answers to these questions as well as several of the mathematical surprises that lurk in the background, including ... 
1211  Frontiers in Nonparametric Statistics
[OWR201214] (2012)  (11 Mar  17 Mar 2012)The goal of this workshop was to discuss recent developments of nonparametric statistical inference. A particular focus was on high dimensional statistics, semiparametrics, adaptation, nonparametric bayesian statistics, ... 
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. 
0012  Functional Analysis and Partial Differential Equations
[TB200013] (2000)  (19 Mar  25 Mar 2000) 
0208b  Functional Analytic and Complex Analytic Methods in the Theory of Linear PDE
[TB20029] (2002)  (17 Feb  23 Feb 2002) 
0237  Fundamental Groups in Geometry
[TB200243] (2002)  (08 Sep  14 Sep 2002) 
Fundamental Theorem of Projective Geometry over Semirings
[OWP202109] (Mathematisches Forschungsinstitut Oberwolfach, 20211011)We state the fundamental theorem of projective geometry for semimodules over semirings, which is facilitated by recent work in the study of bases in semimodules defined over semirings. In the process we explore in detail ... 
9907  Funktionentheorie
[TB19997] (1999)  (14 Feb  20 Feb 1999) 
0407  Funktionentheorie
[OWR20047] (2004)  (08 Feb  14 Feb 2004) 
0107  Funktionentheorie
[TB20016] (2001)  (11 Feb  17 Feb 2001) 
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 ... 
9904  Ganzzahlige quadratische Formen und Gitter
[TB19994] (1999)  (24 Jan  30 Jan 1999) 
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 ... 
0505  Gemischte und nichtstandard FiniteElementeMethoden mit Anwendungen
[OWR20055] (2005)  (30 Jan  05 Feb 2005)Mixed and nonconforming finite element methods form a general mathematical framework for the spatial discretisation of partial differential equations, mainly applied to elliptic equations of second order and are becoming ...