• 1334 - Group Theory, Measure, and Asymptotic Invariants 

      [OWR-2013-42] (2013) - (18 Aug - 24 Aug 2013)
      The workshop ‘Group Theory, Measure, and Asymptotic Invariants’ organized by Miklos Abert (Budapest), Damien Gaboriau (Lyon) and Andreas Thom (Leipzig) was held 18 - 24 August 2013. The event was a continuation of the ...
    • Group-Graded Rings Satisfying the Strong Rank Condition 

      [OWP-2019-22] Kropholler, Peter H.; Lorensen, Karl (Mathematisches Forschungsinstitut Oberwolfach, 2019-08-16)
      A ring $R$ satisfies the $\textit{strong rank condition}$ (SRC) if, for every natural number $n$, the free $R$-submodules of $R^n$ all have rank $\leq n$. Let $G$ be a group and $R$ a ring strongly graded by $G$ such that ...
    • 2203 - Groups and Dynamics: Topology, Measure, and Borel Structure 

      [OWR-2022-3] (2022) - (16 Jan - 22 Jan 2022)
      While the subjects of topological dynamics, ergodic theory, and descriptive set theory have long interacted in a variety of profitable ways, recent developments have ushered in a vigorous new phase of interplay between ...
    • 0817 - Groups and Geometries 

      [OWR-2008-20] (2008) - (20 Apr - 26 Apr 2008)
    • 0510 - Groups and Geometries 

      [OWR-2005-12] (2005) - (06 Mar - 12 Mar 2005)
      The workshop Groups and Geometries was one of a series of Oberwolfach workshops which takes place every 3 years. It focused on finite simple groups, Lie-type groups and their interactions with geometry.
    • 1949 - Groups, Dynamics, and Approximation 

      [OWR-2019-55] (2019) - (01 Dec - 07 Dec 2019)
      The workshop covered a wide range of topics, with emphasis on Geometric Group Theory, Ergodic Theory and links with Functional Analysis on the one hand and Mathematical Logic on the other. The goal of the workshop was to ...
    • 0742 - Harmonische Analysis und Darstellungstheorie Topologischer Gruppen 

      [OWR-2007-49] (2007) - (14 Oct - 20 Oct 2007)
      This was a meeting in the general area of representation theory and harmonic analysis on reductive groups.
    • An inductive approach to coxeter arrangements and solomon's descent algebra 

      [OWP-2011-16] Douglass, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard (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] Hoge, Torsten; Röhrle, Gerhard (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 ...
    • 1046a - Infinite Dimensional Lie Theory 

      [OWR-2010-51] (2010) - (14 Nov - 20 Nov 2010)
      The workshop focussed on recent developments in infinite-dimensional Lie theory. The talks covered a broad range of topics, such as structure and classification theory of infinite-dimensional Lie algebras, geometry of ...
    • 0650 - Infinite Dimensional Lie Theory 

      [OWR-2006-55] (2006) - (10 Dec - 16 Dec 2006)
      The workshop focussed on recent developments in infinite-dimensional Lie theory. The talks covered a broad range of topics, such as structure and classification theory of infinite-dimensional Lie algebras, geometry of ...
    • Invariant Four-forms and Symmetric Pairs 

      [OWP-2012-03] Moroianu, Andrei; Semmelmann, Uwe (Mathematisches Forschungsinstitut Oberwolfach, 2012-04-24)
      We give criteria for real, complex and quaternionic representations to define $s$-representations, focusing on exceptional Lie algebras defined by spin representations. As applications, we obtain the classification of ...
    • 1603 - Lattices and Applications in Number Theory 

      [OWR-2016-3] (2016) - (17 Jan - 23 Jan 2016)
      This is a report on the workshop on Lattices and Applications in Number Theory held in Oberwolfach, from January 17 to January 23, 2016. The workshop brought together people working in various areas related to the field: ...
    • Linear Syzygies, Hyperbolic Coxeter Groups and Regularity 

      [OWP-2017-15] Constantinescu, Alexandru; Kahle, Thomas; Varbaro, Matteo (Mathematisches Forschungsinstitut Oberwolfach, 2017-05-24)
      We build a new bridge between geometric group theory and commutative algebra by showing that the virtual cohomological dimension of a Coxeter group is essentially the regularity of the Stanley–Reisner ring of its nerve. ...
    • 0539 - Low-Dimensional Manifolds 

      [OWR-2005-45] (2005) - (25 Sep - 01 Oct 2005)
    • The Magic Square of Reflections and Rotations 

      [OWP-2018-13] Buchweitz, Ragnar-Olaf; Faber, Eleonore; Ingalls, Colin (Mathematisches Forschungsinstitut Oberwolfach, 2018-07-01)
      We show how Coxeter’s work implies a bijection between complex reflection groups of rank two and real reflection groups in 0(3). We also consider this magic square of reflections and rotations in the framework of Clifford ...
    • 0922 - Manifold Perspectives 

      [OWR-2009-27] (2009) - (24 May - 30 May 2009)
      The study of the global properties of manifolds and their symmetries has had a great impact on both geometric and algebraic topology, and also on other branches of mathematics, such as algebra, differential geometry and ...
    • 2007 - Manifolds and Groups 

      [OWR-2020-7] (2020) - (09 Feb - 15 Feb 2020)
      The workshop concentrated on the interplay of advances in the understanding of manifolds and geometric group theory. In particular, we discussed mapping class groups and moduli spaces of manifolds (also of high ...
    • 1635 - Measured Group Theory 

      [OWR-2016-41] (2016) - (28 Aug - 03 Sep 2016)
      The workshop aimed to study discrete and Lie groups and their actions using measure theoretic methods and their asymptotic invariants, such as $\ell^2$-invariants, the rank gradient, cost, torsion growth, entropy-type ...
    • 2136b - MFO-RIMS Tandem Workshop: Symmetries on Polynomial Ideals and Varieties (hybrid meeting) 

      [OWR-2021-43] (2021) - (05 Sep - 11 Sep 2021)
      The study of symmetry as a structural property of algebraic objects is one of the fundamental pillows of the developments of modern mathematics, most prominently beginning with the work of Abel and Galois. The focus of ...