Browsing by Title
Now showing items 598-617 of 2026
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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 ... -
A Generalization of the Discrete Version of Minkowski’s Fundamental Theorem
[OWP-2014-17] (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 o-symmetric convex body whose only ... -
Generalized Entropy Method for the Renewal Equation with Measure Data
[OWP-2016-07] (Mathematisches Forschungsinstitut Oberwolfach, 2016-06-17)We study the long-time asymptotics for the so-called McKendrick-Von 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
[OWP-2014-11] (Mathematisches Forschungsinstitut Oberwolfach, 2014-08-20)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
[OWP-2018-17] (Mathematisches Forschungsinstitut Oberwolfach, 2018-07-17)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 ...