Browsing by MSC "13"
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Abstract Bivariant Cuntz Semigroups
[OWP201704] (Mathematisches Forschungsinstitut Oberwolfach, 20170213)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
[OWP201507] (Mathematisches Forschungsinstitut Oberwolfach, 20150729)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
[OWR201720] (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 ... 
2249a  Algebraic Structures in Statistical Methodology
[OWR202255] (2022)  (04 Dec  10 Dec 2022)Algebraic structures arise naturally in a broad variety of statistical problems, and numerous fruitful connections have been made between algebra and discrete mathematics and research on statistical methodology. The ... 
2341  Arbeitsgemeinschaft: Cluster Algebras
[OWR202345] (2023)  (08 Oct  13 Oct 2023)Cluster algebras, invented by Sergey Fomin and Andrei Zelevinsky around the year 2000, are commutative algebras endowed with a rich combinatorial structure. FominZelevinsky's original motivations came from Lie theory ... 
1814  Arbeitsgemeinschaft: Topological Cyclic Homology
[OWR201815] (2018)  (01 Apr  07 Apr 2018)Introduced by BökstedtHsiangMadsen in the nineties, topological cyclic homology is a manifestation of the dual visions of ConnesTsygan and Waldhausen to extend de Rham cohomology to a noncommutative setting and to ... 
0720  Arithmetic and Differential Galois Groups
[OWR200726] (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
[OWR201657] (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 ... 
2403  Cluster Algebras and Its Applications
[OWR20242] (2024)  (14 Jan  19 Jan 2024)This workshop focused on recent developments in cluster algebras and their applications as well as interactions with other areas of mathematics. In addition to new advances in the theory of cluster algebras themselves, it ... 
1350  Cluster Algebras and Related Topics
[OWR201358] (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 BelavinDrinfeld classification
[OWP201110] (Mathematisches Forschungsinstitut Oberwolfach, 20110512)We study natural cluster structures in the rings of regular functions on simple complex Lie groups and PoissonLie structutures compatible with these cluster structures. According to our main conjecture, each class in the ... 
1631  Computational Group Theory
[OWR201637] (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 ... 
1131  Computational Group Theory
[OWR201137] (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 ... 
Criteria for Algebraicity of Analytic Functions
[OWP201825] (Mathematisches Forschungsinstitut Oberwolfach, 20181112)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
[OWR201649] (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
[OWP201107] (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 ... 
1129  Explicit Methods in Number Theory
[OWR201135] (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 SatoTate conjecure, Langlands programme, function fields, Lfunctions and many other topics. 
1528  Explicit Methods in Number Theory
[OWR201532] (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, ... 
1329  Explicit Methods in Number Theory
[OWR201335] (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, Lfunctions, ... 
0529  Explicit Methods in Number Theory
[OWR200532] (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, ...