Browsing Oberwolfach Reports by MSC "13"
Now showing items 120 of 64

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 ... 
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 ... 
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 ... 
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 ... 
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. 
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, ... 
0729  Explicit Methods in Number Theory
[OWR200734] (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 Lfunctions, rational points ... 
0929  Explicit Methods in Number Theory
[OWR200933] (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 Lfunctions, rational points on ... 
1506  Geometric and Algebraic Combinatorics
[OWR20155] (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 ... 
1935  Geometric, Algebraic, and Topological Combinatorics
[OWR201939] (2019)  (25 Aug  31 Aug 2019)The 2019 Oberwolfach meeting "Geometric, Algebraic and Topological Combinatorics" was organized by Gil Kalai (Jerusalem), Isabella Novik (Seattle), Francisco Santos (Santander), and Volkmar Welker (Marburg). It covered a ... 
0915b  Hilbert Modules and Complex Geometry
[OWR200920] (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 ... 
1607b  Hochschild Cohomology in Algebra, Geometry, and Topology
[OWR201610] (2016)  (14 Feb  20 Feb 2016)In 1945 Gerhard Hochschild published "On the cohomology groups of an associative algebra" in the Annals of Mathematics and thereby created what is now called Hochschild theory. In 1963, Murray Gerstenhaber proved that the ... 
2207a  Interpolation, Approximation, and Algebra
[OWR20227] (2022)  (13 Feb  19 Feb 2022)This report involves two concepts of geometric modeling: multivariate data interpolation by polynomials, and the study of generalized bary\centric coordinates. These topics are connected to a wide range of of applications, ...