• 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 ...
    • 1644c - Mini-Workshop: Computations in the Cohomology of Arithmetic Groups 

      [OWR-2016-52] (2016) - (30 Oct - 05 Nov 2016)
      Explicit calculations play an important role in the theoretical development of the cohomology of groups and its applications. It is becoming more common for such calculations to be derived with the aid of a computer. This ...
    • 0533c - Mini-Workshop: Gerbes, Twisted K-Theory and Conformal Field Theory 

      [OWR-2005-38] (2005) - (14 Aug - 20 Aug 2005)
      The aim of the mini-workshop was to bring together people whose work in mathematics and mathematical physics centers around geometry and topology applicable in modern string theory. More specifically, whose interests are ...
    • 1743c - Mini-Workshop: Interactions between Low-dimensional Topology and Complex Algebraic Geometry 

      [OWR-2017-50] (2017) - (22 Oct - 28 Oct 2017)
      Recent developments exhibit a strong connection between low-dimensional topology and complex algebraic geometry. A common theme is provided by the Alexander polynomial and its many avatars. The mini-Workshop brought together ...
    • 1320c - Mini-Workshop: Localising and Tilting in Abelian and Triangulated Categories 

      [OWR-2013-26] (2013) - (12 May - 18 May 2013)
      The workshop brought together experts on localisation theory and tilting theory from different parts of mathematics with the aim of fully exploiting the power of some recent developments in so far rather independent contexts. ...
    • 1915a - Mini-Workshop: Recent Progress in Path Integration on Graphs and Manifolds 

      [OWR-2019-16] (2019) - (07 Apr - 13 Apr 2019)
      Ever since Richard Feynman's PhD thesis, path integrals have played a decisive role in mathematical physics. While it is well-known that such formulae can hold only formally, it was Mark Kac who realized that by replacing ...
    • 1109a - Mini-Workshop: The Homotopy Interpretation of Constructive Type Theory 

      [OWR-2011-11] (2011) - (27 Feb - 05 Mar 2011)
      Over the past few years it has become apparent that there is a surprising and deep connection between constructive logic and higherdimensional structures in algebraic topology and category theory, in the form of an ...
    • 1609c - Mini-Workshop: Topological Complexity and Related Topics 

      [OWR-2016-15] (2016) - (28 Feb - 05 Mar 2016)
      Topological complexity is a numerical homotopy invariant of topological spaces, of Lusternik-Schnirelmann type, introduced by Farber and motivated by the motion planning problem from topological robotics. This mini-workshop ...
    • 0733c - Mini-Workshop: Topology of closed one-forms and Cohomology Jumping Loci 

      [OWR-2007-40] (2007) - (12 Aug - 18 Aug 2007)
      The purpose of this workshop was to bring together researchers from the two different fields mentioned in the title, and to create more interaction and connections between these fields. Among the topics which appear in ...
    • 0618b - Mini-Workshop: Zeta Functions, Index and Twisted K-Theory; Interactions with Physics 

      [OWR-2006-21] (2006) - (30 Apr - 06 May 2006)
      The meeting provided an opportunity for number theorists, physicists, topologists and analysts to discuss recent developments and interactions in the area of multiple zeta functions, twisted K-theory, Hopf algebras, and ...
    • New representations of matroids and generalizations 

      [OWP-2011-18] Izhakian, Zur; Rhodes, John L. (Mathematisches Forschungsinstitut Oberwolfach, 2011)
      We extend the notion of matroid representations by matrices over fields by considering new representations of matroids by matrices over finite semirings, more precisely over the boolean and the superboolean semirings. This ...
    • On Vietoris-Rips Complexes of Ellipses 

      [OWP-2017-11] Adamaszek, Michal; Adams, Henry; Reddy, Samadwara (Mathematisches Forschungsinstitut Oberwolfach, 2017-04-25)
      For $X$ a metric space and $r > 0$ a scale parameter, the Vietoris–Rips complex $VR_<(X; r)$ (resp. $VR_≤(X; r)$) has $X$ as its vertex set, and a finite subset $\sigma \subseteq X$ as a simplex whenever the diameter of ...
    • Realizing Spaces as Classifying Spaces 

      [OWP-2015-01] Lupton, Gregory; Smith, Samuel Bruce (Mathematisches Forschungsinstitut Oberwolfach, 2015-04-10)
      Which spaces occur as a classifying space for fibrations with a given fibre? We address this question in the context of rational homotopy theory. We construct an infinite family of finite complexes realized (up to rational ...
    • The Simplicial Complex of Brauer Pairs of a Finite Reductive Group 

      [OWP-2023-12] Rossi, Damiano (Mathematisches Forschungsinstitut Oberwolfach, 2023-07-17)
      In this paper we study the simplicial complex induced by the poset of Brauer pairs ordered by inclusion for the family of finite reductive groups. In the defining characteristic case the homotopy type of this simplicial ...
    • 2309a - Skew Braces and the Yang-Baxter Equation 

      [OWR-2023-9] (2023) - (26 Feb - 04 Mar 2023)
      The workshop was focused on the interplay between set-theoretic solutions to the Yang-Baxter equation and several algebraic structures used to construct and understand new solutions. In this vein, the YBE and properties ...
    • 1150 - Stratified Spaces: Joining Analysis, Topology and Geometry 

      [OWR-2011-56] (2011) - (11 Dec - 17 Dec 2011)
      For manifolds, topological properties such as Poincaré duality and invariants such as the signature and characteristic classes, results and techniques from complex algebraic geometry such as the Hirzebruch-Riemann-Roch ...
    • 0924 - Strings, Fields and Topology 

      [OWR-2009-28] (2009) - (07 Jun - 13 Jun 2009)
      In recent years, the interplay between traditional geometric topology and theoretical physics, in particular quantum ?eld theory, has played a signi?cant role in the work of many researchers. The idea of this workshop was ...
    • 1649 - Surface Bundles 

      [OWR-2016-56] (2016) - (04 Dec - 10 Dec 2016)
      This workshop brought together specialists in algebraic topology, low dimensional topology, geometric group theory, algebraic geometry and neighboring fields. It provided a good overview of the current developments, and ...
    • 0622 - Teichmüller Space (Classical and Quantum) 

      [OWR-2006-26] (2006) - (28 May - 03 Jun 2006)
      This is a short report on the conference “Teichmüller Space (Classical and Quantum) ” held in Oberwolfach from May 28th to June 3rd, 2006.
    • 2338a - Tensor-Triangular Geometry and Interactions 

      [OWR-2023-40] (2023) - (17 Sep - 22 Sep 2023)
      The workshop brought together experts in a rapidly growing field of tensor triangular geometry highlighting applications to and techniques coming from homotopy theory, algebraic geometry, modular representation theory, ...