• Groups with Spanier-Whitehead Duality 

      [OWP-2019-23] Nishikawa, Shintaro; Proietti, Valerio (Mathematisches Forschungsinstitut Oberwolfach, 2019-09-17)
      We introduce the notion of Spanier-Whitehead $K$-duality for a discrete group $G$, defined as duality in the KK-category between two $C*$-algebras which are naturally attached to the group, namely the reduced group ...
    • 0548 - Heat Kernels, Stochastic Processes and Functional Inequalities 

      [OWR-2005-54] (2005) - (27 Nov - 03 Dec 2005)
      The conference brought together mathematicians belonging to several fields, essentially analysis, probability and geometry. One of the main unifying topics was certainly the study of heat kernels in various contexts: ...
    • 1648 - Heat Kernels, Stochastic Processes and Functional Inequalities 

      [OWR-2016-55] (2016) - (27 Nov - 03 Dec 2016)
      The general topic of the 2016 workshop Heat kernels, stochastic processes and functional inequalities was the study of linear and non-linear diffusions in geometric environments including smooth manifolds, fractals and ...
    • 0915b - Hilbert Modules and Complex Geometry 

      [OWR-2009-20] (2009) - (05 Apr - 11 Apr 2009)
      The major topics discussed in this workshop were Hilbert modules of analytic functions on domains in ℂn, Toeplitz and Hankel operators, the interplay of commutative algebra, complex analytic geometry and multivariable ...
    • 1417 - Hilbert Modules and Complex Geometry 

      [OWR-2014-21] (2014) - (20 Apr - 26 Apr 2014)
      The major topics discussed in the workshop were Hilbert modules of analytic functions on domains in Cn, Toeplitz and Hankel operators, reproducing kernel Hilbert spaces and multiplier algebras, the interplay of complex ...
    • Infeasibility certificates for linear matrix inequalities 

      [OWP-2011-28] Klep, Igor; Schweighofer, Markus (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-25)
      Farkas' lemma is a fundamental result from linear programming providing linear certi cates for infeasibility of systems of linear inequalities. In semidefinite programming, such linear certificates only exist for strongly ...
    • 1819 - Interactions between Operator Space Theory and Quantum Probability with Applications to Quantum Information 

      [OWR-2018-22] (2018) - (06 May - 12 May 2018)
      Operator space theory was the joining element of our workshop. This theory is a quantisation of the theory of Banach spaces. The talks at our meeting investigated the interactions of operator space theory with operator ...
    • 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 ...
    • 1215c - Mini-Workshop: Endomorphisms, Semigroups and C*-Algebras of Rings 

      [OWR-2012-20] (2012) - (08 Apr - 14 Apr 2012)
      The main aim of the workshop was to explore recent progress in the study of endomorphisms of $C*$-algebras, semigroup crossed products, graph algebras, ring $C*$-algebras, purely infinite $C*$-algebras and related algebraic ...
    • 1738a - Mini-Workshop: MASAs and Automorphisms of C*-Algebras 

      [OWR-2017-42] (2017) - (17 Sep - 23 Sep 2017)
      The main aim of this workshop was to study maximal abelian *-subalgebras of C*-algebras from various points of view. A chief motivation is the UCT problem, which asks whether all separable nuclear C*-algebras satisfy the ...
    • 1416a - Mini-Workshop: Mathematical Physics meets Sparse Recovery 

      [OWR-2014-18] (2014) - (13 Apr - 19 Apr 2014)
      In recent years, there have been several fruitful interchanges of methods between the fields of sparse and low-rank recovery on the one hand and quantum information theory on the other hand. One way to understand this ...
    • 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 ...
    • 0533a - Mini-Workshop: Operators on Spaces of Analytic Functions 

      [OWR-2005-36] (2005) - (14 Aug - 20 Aug 2005)
      The major topics discussed in this workshop were invariant subspaces of linear operators on Banach spaces of analytic functions, the ideal structure of H ∞ , asymptotics for condition numbers of large matrices, and questions ...
    • 0908b - Mini-Workshop: Product Systems and Independence in Quantum Dynamics 

      [OWR-2009-9] (2009) - (15 Feb - 21 Feb 2009)
      Quantum dynamics, both reversible (i.e., closed quantum systems) and irreversible (i.e., open quantum systems), gives rise to product systems of Hilbert spaces or, more generally, of Hilbert modules. When we consider ...
    • 1816c - Mini-Workshop: Superexpanders and Their Coarse Geometry 

      [OWR-2018-19] (2018) - (15 Apr - 21 Apr 2018)
      It is a deep open problem whether all expanders are superexpanders. In fact, it was already a major challenge to prove the mere existence of superexpanders. However, by now, some classes of examples are known: Lafforgue’s ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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 ...
    • 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.