Now showing items 533-552 of 1837

• 0513 - Free Probability Theory ﻿

[OWR-2005-15] (2005) - (27 Mar - 02 Apr 2005)
Free probability theory is a line of research which parallels aspects of classical probability, in a non-commutative context where tensor products are replaced by free products, and independent random variables are replaced ...
• Freeness of Multi-Reflection Arrangements via Primitive Vector Fields ﻿

[OWP-2017-10] (Mathematisches Forschungsinstitut Oberwolfach, 2017-04-20)
In 2002, Terao showed that every reflection multi-arrangement 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 ﻿

[SNAP-2015-004-EN] (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 ﻿

[OWR-2013-12] (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 ℓ²-Betti numbers ﻿

[SNAP-2020-001-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2020-04-15)
We provide a leisurely introduction to ℓ²-Betti 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 ℓ²-Betti numbers.
• From computer algorithms to quantum field theory: an introduction to operads ﻿

[SNAP-2015-017-EN] (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 Riemann-Roch Theorem ﻿

[SNAP-2021-001-EN] (Mathematisches Forschungsinstitut Oberwolfach, 2021-02-23)
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 ﻿

[OWR-2012-14] (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 ﻿

[OWP-2019-02] (Mathematisches Forschungsinstitut Oberwolfach, 2019-02-11)
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 ﻿

[TB-2000-13] (2000) - (19 Mar - 25 Mar 2000)
• 0208b - Functional Analytic and Complex Analytic Methods in the Theory of Linear PDE ﻿

[TB-2002-9] (2002) - (17 Feb - 23 Feb 2002)
• 0237 - Fundamental Groups in Geometry ﻿

[TB-2002-43] (2002) - (08 Sep - 14 Sep 2002)
• Fundamental Theorem of Projective Geometry over Semirings ﻿

[OWP-2021-09] (Mathematisches Forschungsinstitut Oberwolfach, 2021-10-11)
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 ﻿

[TB-1999-7] (1999) - (14 Feb - 20 Feb 1999)
• 0407 - Funktionentheorie ﻿

[OWR-2004-7] (2004) - (08 Feb - 14 Feb 2004)
• 0107 - Funktionentheorie ﻿

[TB-2001-6] (2001) - (11 Feb - 17 Feb 2001)
• G-complete reducibility in non-connected groups ﻿

[OWP-2013-09] (Mathematisches Forschungsinstitut Oberwolfach, 2013-04-10)
In this paper we present an algorithm for determining whether a subgroup $H$ of a non-connected 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 ﻿

[TB-1999-4] (1999) - (24 Jan - 30 Jan 1999)
• GAP Functionality for Zariski Dense Groups ﻿

[OWP-2017-22] (Mathematisches Forschungsinstitut Oberwolfach, 2017-09-14)
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 nicht-standard Finite-Elemente-Methoden mit Anwendungen ﻿

[OWR-2005-5] (2005) - (30 Jan - 05 Feb 2005)
Mixed and non-conforming 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 ...