• Abstract Bivariant Cuntz Semigroups 

      [OWP-2017-04] Antoine, Ramon; Perera, Francesc; Thiel, Hannes (Mathematisches Forschungsinstitut Oberwolfach, 2017-02-13)
      We show that abstract Cuntz semigroups form a closed symmetric monoidal category. Thus, given Cuntz semigroups $S$ and $T$, there is another Cuntz semigroup $((S,T))$ playing the role of morphisms from $S$ to $T$. Applied ...
    • 0629 - Algebraic K-Theory 

      [OWR-2006-32] (2006) - (16 Jul - 22 Jul 2006)
      This is the report on the Oberwolfach workshop Algebraic KTheory, held in July 2006. The talks covered mainly topics from Algebraic Geometry and Number Theory in connection with K-Theory. Special emphasis was placed on ...
    • 1926 - Algebraic K-theory 

      [OWR-2019-29] (2019) - (23 Jun - 29 Jun 2019)
      Algebraic $K$-theory has seen a fruitful development during the last three years. Part of this recent progress was driven by the use of $\infty$-categories and related techniques originally developed in algebraic ...
    • 0927 - Algebraic K-Theory and Motivic Cohomology 

      [OWR-2009-31] (2009) - (28 Jun - 04 Jul 2009)
      Algebraic K-theory and the related motivic cohomology are a systematic way of producing invariants for algebraic or geometric structures. Its definition and methods are taken from algebraic topology, but it has also proved ...
    • 1326 - Algebraic K-theory and Motivic Cohomology 

      [OWR-2013-32] (2013) - (23 Jun - 29 Jun 2013)
      Algebraic K-theory and motivic cohomology are strongly related tools providing a systematic way of producing invariants for algebraic or geometric structures. The definition and methods are taken from algebraic topology, ...
    • 1626 - Algebraic K-theory and Motivic Cohomology 

      [OWR-2016-31] (2016) - (26 Jun - 02 Jul 2016)
      Algebraic $K$-theory and motivic cohomology have developed together over the last thirty years. Both of these theories rely on a mix of algebraic geometry and homotopy theory for their construction and development, and ...
    • 1428 - Algebraische Zahlentheorie 

      [OWR-2014-32] (2014) - (06 Jul - 12 Jul 2014)
      The workshop brought together leading experts in Algebraic Number Theory. The talks presented new methods and results that intertwine a multitude of topics ranging from classical diophantine themes to modern arithmetic ...
    • 1432 - Analysis, Geometry and Topology of Positive Scalar Curvature Metrics 

      [OWR-2014-36] (2014) - (03 Aug - 09 Aug 2014)
      One of the fundamental problems in Riemannian geometry is to understand the relation of locally defined curvature invariants and global properties of smooth manifolds. This workshop was centered around the investigation ...
    • 1732 - Analysis, Geometry and Topology of Positive Scalar Curvature Metrics 

      [OWR-2017-36] (2017) - (06 Aug - 12 Aug 2017)
      Riemannian manifolds with positive scalar curvature play an important role in mathematics and general relativity. Obstruction and existence results are connected to index theory, bordism theory and homotopy theory, using ...
    • 0514 - Arbeitsgemeinschaft mit aktuellem Thema: Algebraic Cobordism 

      [OWR-2005-16] (2005) - (03 Apr - 09 Apr 2005)
      The aim of this Arbeitsgemeinschaft was to present the theory of Algebraic Cobordism due to Marc Levine and Fabien Morel through the lines of their original articles: Inspired by the work of Quillen on complex cobordism, ...
    • 0614 - Arbeitsgemeinschaft mit aktuellem Thema: Higher Torsion Invariants in Differential Topology and Algebraic K-Theory 

      [OWR-2006-16] (2006) - (02 Apr - 08 Apr 2006)
      The purpose of this Arbeitsgemeinschaft was to study and—as far as possible—compare three generalisations of the classical Franz-Reidemeister torsion to families E → B of manifolds. Dwyer, Weiss and Williams construct ...
    • 0641 - Arbeitsgemeinschaft mit aktuellem Thema: Twisted K-Theory 

      [OWR-2006-46] (2006) - (08 Oct - 14 Oct 2006)
      The “Arbeitsgemeinsschaft mit aktuellem Thema ‘Twisted KTheory’ ” gave an introduction to several aspects of twisted K-theory. It started with a couple of different definitions of twisted K-theory, suitable in situations ...
    • 1814 - Arbeitsgemeinschaft: Topological Cyclic Homology 

      [OWR-2018-15] (2018) - (01 Apr - 07 Apr 2018)
      Introduced by Bökstedt-Hsiang-Madsen in the nineties, topological cyclic homology is a manifestation of the dual visions of Connes-Tsygan and Waldhausen to extend de Rham cohomology to a noncommutative setting and to ...
    • 0834 - C*-Algebras 

      [OWR-2008-37] (2008) - (17 Aug - 23 Aug 2008)
    • 1634 - C*-Algebras 

      [OWR-2016-40] (2016) - (21 Aug - 27 Aug 2016)
      The field of operator algebras is a flourishing area of mathematics with strong ties to many other areas including functional/harmonic analysis, topology, (non-commutative) geometry, group theory and dynamical systems. The ...
    • 0535 - C*-Algebren 

      [OWR-2005-41] (2005) - (28 Aug - 03 Sep 2005)
    • 1010 - C*-Algebren 

      [OWR-2010-13] (2010) - (07 Mar - 13 Mar 2010)
      The theory of C*-algebras plays a major role in many areas of modern mathematics, like Non-commutative Geometry, Dynamical Systems, Harmonic Analysis, and Topology, to name a few. The aim of the conference “C*-algebras” ...
    • 1335 - C*-Algebren 

      [OWR-2013-43] (2013) - (25 Aug - 31 Aug 2013)
      C*-algebras play an important role in many modern areas of mathematics, like Noncommutative Geometry and Topology, Dynamical Systems, Harmonic Analysis and others. The conference “C*-algebras” brings together leading experts ...
    • 1107 - Geometric Quantization in the Non-compact Setting 

      [OWR-2011-9] (2011) - (13 Feb - 19 Feb 2011)
      The purpose of the workshop was to bring together mathematicians interested in ”quantization of manifolds” in a broad sense: given classical data, such as a Lie group G acting on a symplectic manifold M, construct a quantum ...