Browsing by MSC "52"
Now showing items 41-60 of 86
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2101b - Geometry, Dynamics and Spectrum of Operators on Discrete Spaces (online meeting)
[OWR-2021-2] (2021) - (03 Jan - 09 Jan 2021)Spectral theory is a gateway to fundamental insights in geometry and mathematical physics. In recent years the study of spectral problems in discrete spaces has gained enormous momentum. While there are some relations to ... -
An inductive approach to coxeter arrangements and solomon's descent algebra
[OWP-2011-16] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-17)In our recent paper [3], we claimed that both the group algebra of a finite Coxeter group W as well as the Orlik-Solomon algebra of W can be decomposed into a sum of induced one-dimensional representations of centralizers, ... -
Inductive Freeness of Ziegler’s Canonical Multiderivations for Reflection Arrangements
[OWP-2017-14] (Mathematisches Forschungsinstitut Oberwolfach, 2017-04-30)Let $A$ be a free hyperplane arrangement. In 1989, Ziegler showed that the restriction $A''$ of $A$ to any hyperplane endowed with the natural multiplicity is then a free multiarrangement. We initiate a study of the stronger ... -
1306a - Integral Geometry and its Applications
[OWR-2013-5] (2013) - (03 Feb - 09 Feb 2013)In recent years there has been a series of striking developments in modern integral geometry which has, in particular, lead to the discovery of new relations to several branches of pure and applied mathematics. A number ... -
0651 - Konvexgeometrie
[OWR-2006-56] (2006) - (17 Dec - 23 Dec 2006)The geometry of convex domains in Euclidean space plays a central role in several branches of mathematics: functional and harmonic analysis, the theory of PDE, linear programming and, increasingly, in the study of other ... -
2104 - Logarithmic Vector Fields and Freeness of Divisors and Arrangements: New perspectives and applications (online meeting)
[OWR-2021-5] (2021) - (24 Jan - 30 Jan 2021)The central topic of the workshop was the notion of logarithmic vector fields along a divisor in a smooth complex analytic or algebraic variety, i.e., the vector fields on the ambient variety tangent to the divisor. ... -
Mesh Ratios for Best-Packing and Limits of Minimal Energy Configurations
[OWP-2013-13] (Mathematisches Forschungsinstitut Oberwolfach, 2013-06-10)For $N$-point best-packing configurations $\omega_N$ on a compact metric space $(A, \rho)$, we obtain estimates for the mesh-separation ratio $\gamma(\rho_N , A)$, which is the quotient of the covering radius of $\omega_N$ ... -
2510a - Mini-Workshop: Alcoved Polytopes in Physics and Optimization
[OWR-2025-12] (2025) - (02 Mar - 07 Mar 2025)An alcoved polytope is a polytope whose facet normal are all in direction of type $A$ roots. This fundamental class of polytopes has ample applications in for instance tropical geometry, statistics and algebra. ... -
1609b - Mini-Workshop: Arrangements of Subvarieties, and their Applications in Algebraic Geometry
[OWR-2016-14] (2016) - (28 Feb - 05 Mar 2016)While arrangements of hyperplanes have been studied in algebra, combinatorics and geometry for a long time, recent discoveries suggest that they (and more generally arrangements of nonlinear subvarieties) play an even more ... -
1440a - Mini-Workshop: Asymptotic Statistics on Stratified Spaces
[OWR-2014-44] (2014) - (28 Sep - 04 Oct 2014)Statistical analysis of non-Euclidean data such as data on manifolds is an active and established topic of research, for instance, in the statistical analysis of shape. However, many types of data naturally reside in metric ... -
1240c - Mini-Workshop: Cohomology Rings and Fundamental Groups of Hyperplane Arrangements, Wonderful Compactifications, and Real Toric Varieties
[OWR-2012-49] (2012) - (01 Oct - 06 Oct 2012)The purpose of this workshop was to bring together researchers with a common interest in the objects mentioned in the title from, respectively, the points of view of toric and tropical geometry, arrangement theory, and ... -
1941b - Mini-Workshop: Degeneration Techniques in Representation Theory
[OWR-2019-46] (2019) - (06 Oct - 12 Oct 2019)Modern Representation Theory has numerous applications in many mathematical areas such as algebraic geometry, combinatorics, convex geometry, mathematical physics, probability. Many of the object and problems of interest ... -
2047b - Mini-Workshop: Dimers, Ising and Spanning Trees beyond the Critical Isoradial Case (online meeting)
[OWR-2020-35] (2020) - (15 Nov - 21 Nov 2020)The goal of this mini-workshop is to gather specialists of the dimer, Ising and spanning tree models around recent and ongoing progress in two directions. One is understanding the connection to the spectral curve of these ... -
1449a - Mini-Workshop: Dynamical versus Diffraction Spectra in the Theory of Quasicrystals
[OWR-2014-53] (2014) - (30 Nov - 06 Dec 2014)The dynamical (or von Neumann) spectrum of a dynamical system and the diffraction spectrum of the corresponding measure dynamical system are intimately related. While their equivalence in the case of pure point spectra is ... -
1034c - Mini-Workshop: Exploiting Symmetry in Optimization
[OWR-2010-38] (2010) - (22 Aug - 28 Aug 2010)The feasible regions of mathematical optimization models quite often exhibit a high degree of symmetry. In recent years, several groups of researchers have independently worked on algorithmic approaches to exploit such ... -
1738c - Mini-Workshop: Lattice Polytopes: Methods, Advances, Applications
[OWR-2017-44] (2017) - (17 Sep - 23 Sep 2017)Lattice polytopes arise naturally in many different branches of pure and applied mathematics such as number theory, commutative algebra, combinatorics, toric geometry, optimization, and mirror symmetry. The miniworkshop ... -
1915c - Mini-Workshop: Mathematics of Crystallisation
[OWR-2019-18] (2019) - (07 Apr - 13 Apr 2019)Crystallisation, by which we mean the formation of solids precipitating from a solution, is the central theme of the present mini-workshop. Participants discussed different approaches towards a rigorous mathematical ... -
1609a - Mini-Workshop: PBW Structures in Representation Theory
[OWR-2016-13] (2016) - (28 Feb - 05 Mar 2016)The PBW structures play a very important role in the Lie theory and in the theory of algebraic groups. The importance is due to the huge number of possible applications. The main goal of the workshop was to bring together ... -
1706c - Mini-Workshop: Perspectives in High-dimensional Probability and Convexity
[OWR-2017-10] (2017) - (05 Feb - 11 Feb 2017)Understanding the geometric structure of systems involving a huge amount of parameters is a central problem in mathematics and applied sciences today. Here, geometric and analytical ideas meet in a non-trivial way and ... -
2344c - Mini-Workshop: Positivity and Inequalities in Convex and Complex Geometry
[OWR-2023-51] (2023) - (29 Oct - 03 Nov 2023)The workshop convened researchers from algebraic geometry, convex geometry, and complex geometry to explore themes arising from the Alexandrov-Fenchel and Brunn-Minkowski inequalities. It featured three introductory talks ...