• 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 ...
    • The algebra of differential operators for a Gegenbauer weight matrix 

      [OWP-2015-07] Ignacio Nahuel Zurrián (Mathematisches Forschungsinstitut Oberwolfach, 2015-07-29)
      In this work we study in detail the algebra of differential operators $\mathcal{D}(W)$ associated with a Gegenbauer matrix weight. We prove that two second order operators generate the algebra, indeed $\mathcal{D}(W)$ is ...
    • 1716 - Algebraic Statistics 

      [OWR-2017-20] (2017) - (16 Apr - 22 Apr 2017)
      Algebraic Statistics is concerned with the interplay of techniques from commutative algebra, combinatorics, (real) algebraic geometry, and related fields with problems arising in statistics and data science. This workshop ...
    • 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 ...
    • 0720 - Arithmetic and Differential Galois Groups 

      [OWR-2007-26] (2007) - (13 May - 19 May 2007)
      Galois theory is the study of symmetries in solution spaces of polynomial and differential equations and more generally of the relation between automorphism groups (or group schemes respectively) and the structure of ...
    • 1650 - Asymptotic Phenomena in Local Algebra and Singularity Theory 

      [OWR-2016-57] (2016) - (11 Dec - 17 Dec 2016)
      The goal of this workshop was to highlight, and further, the interactions between local algebra and singularity theory. The timing was serendipitous for both subjects have witnessed tremendous progress recently, much of ...
    • 1350 - Cluster Algebras and Related Topics 

      [OWR-2013-58] (2013) - (08 Dec - 14 Dec 2013)
      Cluster algebras are a class of commutative algebras intoduced by Fomin and Zelevinsky in 2000. Their original purpose was to obtain a combinatorial approach to Lusztig’s dual canonical bases of quantum groups and to total ...
    • Cluster structures on simple complex lie groups and the Belavin-Drinfeld classification 

      [OWP-2011-10] Gekhtman, Michael; Shapiro, Michael; Vainshtein, Alek (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-12)
      We study natural cluster structures in the rings of regular functions on simple complex Lie groups and Poisson-Lie structutures compatible with these cluster structures. According to our main conjecture, each class in the ...
    • 1131 - Computational Group Theory 

      [OWR-2011-37] (2011) - (31 Jul - 06 Aug 2011)
      This sixth workshop on Computational Group Theory proved that its main themes “finitely presented groups”, “$p$-groups”, “matrix groups” and “representations of groups” are lively and active fields of research. The talks ...
    • 1631 - Computational Group Theory 

      [OWR-2016-37] (2016) - (31 Jul - 06 Aug 2016)
      This was the seventh workshop on Computational Group Theory. It showed that Computational Group Theory has significantly expanded its range of activities. For example, symbolic computations with groups and their representations ...
    • Criteria for Algebraicity of Analytic Functions 

      [OWP-2018-25] Bochnak, Jacek; Gwoździewicz, Janusz; Kucharz, Wojciech (Mathematisches Forschungsinstitut Oberwolfach, 2018-11-12)
      We consider functions defined on an open subset of a nonsingular, either real or complex, algebraic set. We give criteria for an analytic function to be a Nash (resp. regular, resp. polynomial) function. Our criteria depend ...
    • 1643 - Definability and Decidability Problems in Number Theory 

      [OWR-2016-49] (2016) - (23 Oct - 29 Oct 2016)
      This workshop brought together experts working on variations of Hilbert’s Tenth Problem and more general decidability issues for structures other than the ring of integers arising naturally in number theory and algebraic geometry.
    • Dominance and Transmissions in Supertropical Valuation Theory 

      [OWP-2011-07] Izhakian, Zur; Knebusch, Manfred; Rowen, Louis (Mathematisches Forschungsinstitut Oberwolfach, 2011)
      This paper is a sequel of [IKR1], where we defined supervaluations on a commutative ring $R$ and studied a dominance relation $\Phi >= v$ between supervaluations $\varphi$ and $\upsilon$ on $R$, aiming at an enrichment of ...
    • 0929 - Explicit Methods in Number Theory 

      [OWR-2009-33] (2009) - (12 Jul - 18 Jul 2009)
      These notes contain extended abstracts on the topic of explicit methods in number theory. The range of topics includes asymptotics for field extensions and class numbers, random matrices and L-functions, rational points on ...
    • 0529 - Explicit Methods in Number Theory 

      [OWR-2005-32] (2005) - (17 Jul - 23 Jul 2005)
      These notes contain extended abstracts on the topic of explicit methods in number theory. The range of topics included modular forms, varieties over finite fields, rational and integral points on varieties, class groups, ...
    • 0729 - Explicit Methods in Number Theory 

      [OWR-2007-34] (2007) - (15 Jul - 21 Jul 2007)
      These notes contain extended abstracts on the topic of explicit methods in number theory. The range of topics includes asymptotics for field extensions and class numbers, random matrices and L-functions, rational points ...
    • 1329 - Explicit Methods in Number Theory 

      [OWR-2013-35] (2013) - (14 Jul - 20 Jul 2013)
      These notes contain extended abstracts on the topic of explicit methods in number theory. The range of topics includes effectiveness in rational points on curves and especially on modular curves, modularity, L-functions, ...
    • 1129 - Explicit Methods in Number Theory 

      [OWR-2011-35] (2011) - (17 Jul - 23 Jul 2011)
      These notes contain extended abstracts on the topic of explicit methods in number theory. The range of topics includes the Sato-Tate conjecure, Langlands programme, function fields, L-functions and many other topics.
    • 1528 - Explicit Methods in Number Theory 

      [OWR-2015-32] (2015) - (05 Jul - 11 Jul 2015)
      The aim of the series of Oberwolfach meetings on ‘Explicit methods in number theory’ is to bring together people attacking key problems in number theory via techniques involving concrete or computable descriptions. Here, ...
    • 1506 - Geometric and Algebraic Combinatorics 

      [OWR-2015-5] (2015) - (01 Feb - 07 Feb 2015)
      The 2015 Oberwolfach meeting “Geometric and Algebraic Combinatorics” was organized by Gil Kalai (Jerusalem), Isabella Novik (Seattle), Francisco Santos (Santander), and Volkmar Welker (Marburg). It covered a wide variety ...