Browsing Oberwolfach Reports by MSC "13"

Now showing items 1-20 of 64

    • 1716 - Algebraic Statistics 

      [OWR-2017-20] Workshop Report 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 ...

    • 2249a - Algebraic Structures in Statistical Methodology 

      [OWR-2022-55] Workshop Report 2022,55 (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 

      [OWR-2018-15] Workshop Report 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] Workshop Report 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] Workshop Report 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] Workshop Report 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 ...

    • 1631 - Computational Group Theory 

      [OWR-2016-37] Workshop Report 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 ...

    • 1131 - Computational Group Theory 

      [OWR-2011-37] Workshop Report 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 ...

    • 1643 - Definability and Decidability Problems in Number Theory 

      [OWR-2016-49] Workshop Report 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.

    • 1129 - Explicit Methods in Number Theory 

      [OWR-2011-35] Workshop Report 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] Workshop Report 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, ...

    • 1329 - Explicit Methods in Number Theory 

      [OWR-2013-35] Workshop Report 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, ...

    • 0529 - Explicit Methods in Number Theory 

      [OWR-2005-32] Workshop Report 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] Workshop Report 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 ...

    • 0929 - Explicit Methods in Number Theory 

      [OWR-2009-33] Workshop Report 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 ...

    • 1506 - Geometric and Algebraic Combinatorics 

      [OWR-2015-5] Workshop Report 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 ...

    • 1935 - Geometric, Algebraic, and Topological Combinatorics 

      [OWR-2019-39] Workshop Report 2019,39 (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 

      [OWR-2009-20] Workshop Report 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 ...

    • 1607b - Hochschild Cohomology in Algebra, Geometry, and Topology 

      [OWR-2016-10] Workshop Report 2016,10 (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 

      [OWR-2022-7] Workshop Report 2022,7 (2022) - (13 Feb - 19 Feb 2022)
      This report involves two concepts of geometric modeling: multi-variate data interpolation by polynomials, and the study of generalized bary\-centric coordinates. These topics are connected to a wide range of of applications, ...