• 1504 - Geometric Topology 

      [OWR-2015-3] (2015) - (18 Jan - 24 Jan 2015)
      Geometric topology has seen significant advances in the understanding and application of infinite symmetries and of the principles behind them. On the one hand, for advances in (geometric) group theory, tools from algebraic ...
    • 0524 - Geometric Topology and Connections with Quantum Field Theory 

      [OWR-2005-27] (2005) - (12 Jun - 18 Jun 2005)
      In recent years, the interplay between traditional geometric topology and theoretical physics, in particular quantum field theory, has played a significant role in the work of many researchers. The idea of this workshop ...
    • Ghost Algebras of Double Burnside Algebras via Schur Functors 

      [OWP-2012-09] Boltje, Robert; Danz, Susanne (Mathematisches Forschungsinstitut Oberwolfach, 2012-07-03)
      For a finite group $G$, we introduce a multiplication on the $\mathbb{Q}$-vector space with basis $\mathscr{S}_{G\times G}$, the set of subgroups of ${G \times G}$. The resulting $\mathbb{Q}$-algebra $\tilde{A}$ can be ...
    • Homology and $K$-Theory of Torsion-Free Ample Groupoids and Smale Spaces 

      [OWP-2020-20] Proietti, Valerio; Yamashita, Makoto (Mathematisches Forschungsinstitut Oberwolfach, 2020-10-09)
      Given an ample groupoid, we construct a spectral sequence with groupoid homology with integer coefficients on the second sheet, converging to the $K$-groups of the groupoid C*-algebra when the groupoid has torsion-free ...
    • 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 ...
    • 1409c - Mini-Workshop: Batalin-Vilkovisky Algebras, Operads, and Hopf Algebroids 

      [OWR-2014-11] (2014) - (23 Feb - 01 Mar 2014)
      This workshop brought together 17 researchers whose work involves Batalin–Vilkovisky algebras, operads, and related structures such as Gerstenhaber algebras and cyclic homology. It featured introductory lectures on some ...
    • 0908a - Mini-Workshop: Category Theory and Related Fields: History and Prospects 

      [OWR-2009-8] (2009) - (15 Feb - 21 Feb 2009)
      he workshop concerned various topics in the history of category theory and related fields, paying attention to some extent also to open questions, present and possible future development.
    • 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 ...
    • 1606a - Mini-Workshop: Operator Spaces and Noncommutative Geometry in Interaction 

      [OWR-2016-6] (2016) - (07 Feb - 13 Feb 2016)
      In recent years, operator space theory has made remarkable appearances in noncommutative geometry, notably in the study of $C^*$-algebras of real reductive groups and the unbounded picture of Kasparov theory. In both these ...
    • 1020 - Motives and Homotopy Theory of Schemes 

      [OWR-2010-23] (2010) - (16 May - 22 May 2010)
      The 2010 program on Motives and Homotopy Theory of Schemes consisted of a lively and varied series of 19 one-hour lectures on the latest developments in the field, presenting a wide range of aspects of this multifaceted ...
    • 1120b - New Directions in Algebraic K-Theory 

      [OWR-2011-27] (2011) - (15 May - 21 May 2011)
      This meeting brought together algebraic geometers, algebraic topologists and geometric topologists, all of whom use algebraic K-theory. The talks and discussions involved all the participants.
    • 0438 - Nichtkommutative Geometrie 

      [OWR-2004-45] (2004) - (12 Sep - 18 Sep 2004)
      These notes contain the extended abstracts of talks given at the meeting on ’noncommutative geometry’ in September 2004. The range of topics includes index theory, algebraic and topological K-theory, cyclic homology, quantum ...
    • 2027 - Non-Commutative Geometry and Cyclic Homology (hybrid meeting) 

      [OWR-2020-17] (2020) - (28 Jun - 04 Jul 2020)
      The workshop on "Non-Commutative Geometry and Cyclic Homology" was attended by 16 participants on site. 30 participants could not travel to Oberwolfach because of the pandemia and took advantage of the videoconference tool. ...
    • 1828 - Non-commutative Geometry, Index Theory and Mathematical Physics 

      [OWR-2018-32] (2018) - (08 Jul - 14 Jul 2018)
      Non-commutative geometry today is a new but mature branch of mathematics shedding light on many other areas from number theory to operator algebras. In the 2018 meeting two of these connections were highlighted. For once, ...
    • 0937 - Noncommutative Geometry 

      [OWR-2009-41] (2009) - (06 Sep - 12 Sep 2009)
      Many of the different aspects of Noncommutative Geometry were represented in the talks. The list of topics that were covered includes in particular new insight into the geometry of a noncommutative torus, local index formulae ...
    • 1337 - Noncommutative Geometry 

      [OWR-2013-45] (2013) - (08 Sep - 14 Sep 2013)
      Noncommutative Geometry applies ideas from geometry to mathematical structures determined by noncommuting variables. This meeting emphasized the connections of Noncommutative Geometry to number theory and ergodic theory.
    • 0736 - Noncommutative Geometry 

      [OWR-2007-43] (2007) - (02 Sep - 08 Sep 2007)
      Many of the various aspects of Noncommutative Geometry were represented in the talks. This includes in particular index theory on foliated spaces, a number of results on spectral triples, noncommutative manifolds and ...
    • 1137 - Noncommutative Geometry 

      [OWR-2011-45] (2011) - (11 Sep - 17 Sep 2011)
      Noncommutative Geometry applies ideas from geometry to mathematical structures determined by noncommuting variables. This meeting concentrated primarily on those aspects of Noncommutative Geometry that are related to index ...
    • 1325b - Quadratic Forms and Linear Algebraic Groups 

      [OWR-2013-31] (2013) - (16 Jun - 22 Jun 2013)
      Topics discussed at the workshop “Quadratic Forms and Linear Algebraic Groups” included besides the algebraic theory of quadratic and Hermitian forms and their Witt groups several aspects of the theory of linear algebraic ...