Browsing Oberwolfach Reports by MSC "12"

Now showing items 1-20 of 31

    • 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 ...

    • 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 ...

    • 1823a - Field Arithmetic 

      [OWR-2018-25] Workshop Report 2018,25 (2018) - (03 Jun - 09 Jun 2018)
      Field Arithmetic studies the interrelation between arithmetic properties of fields and their absolute Galois groups. It is an interdisciplinary area that uses methods of algebraic number theory, commutative algebra, algebraic ...

    • 2110a - Homotopic and Geometric Galois Theory (online meeting) 

      [OWR-2021-12] Workshop Report 2021,12 (2021) - (07 Mar - 13 Mar 2021)
      In his "Letter to Faltings'', Grothendieck lays the foundation of what will become part of his multi-faceted legacy to arithmetic geometry. This includes the following three branches discussed in the workshop: the arithmetic ...

    • 1406a - Langlands Correspondence and Constructive Galois Theory 

      [OWR-2014-5] Workshop Report 2014,5 (2014) - (02 Feb - 08 Feb 2014)
      Recent progress in the Langlands programm provides a significant step towards the understanding of the arithmetic of global fields. The geometric Langlands program provides a systematic way to construct l-adic sheaves ...

    • 2339a - MFO-RIMS Tandem Workshop 2023: Arithmetic Homotopy and Galois Theory 

      [OWR-2023-42] Workshop Report 2023,42 (2023) - (24 Sep - 29 Sep 2023)
      This report presents a general panorama of recent progress in the arithmetic-geometry theory of Galois and homotopy groups and its ramifications. While still relying on Grothendieck's original pillars, the present program ...

    • 1816a - Mini-Workshop: Arithmetic Geometry and Symmetries around Galois and Fundamental Groups 

      [OWR-2018-17] Workshop Report 2018,17 (2018) - (15 Apr - 21 Apr 2018)
      The geometric study of the absolute Galois group of the rational numbers has been a highly active research topic since the first milestones: Hilbert’s Irreducibility Theorem, Noether’s program, Riemann’s Existence Theorem. ...

    • 1651c - Mini-Workshop: Surreal Numbers, Surreal Analysis, Hahn Fields and Derivations 

      [OWR-2016-60] Workshop Report 2016,60 (2016) - (18 Dec - 23 Dec 2016)
      New striking analogies between H. Hahn’s fields of generalised series with real coefficients, G. H. Hardy’s field of germs of real valued functions, and J. H. Conway’s field No of surreal numbers, have been lately discovered ...

    • 2248a - Mini-Workshop: Topological and Differential Expansions of o-minimal Structures 

      [OWR-2022-52] Workshop Report 2022,52 (2022) - (27 Nov - 03 Dec 2022)
      The workshop brought together researchers with expertise in areas of mathematics where model theory has had interesting applications. The areas of expertise spanned from expansions of o-minimal structures preserving tame ...

    • 0703 - Model Theory and Groups 

      [OWR-2007-2] Workshop Report 2007,2 (2007) - (14 Jan - 20 Jan 2007)
      The aim of the workshop was to discuss the connections between model theory and group theory. Main topics have been the interaction between geometric group theory and model theory, the study of the asymptotic behaviour of ...

    • 1001 - Model Theory: Around Valued Fields and Dependent Theories 

      [OWR-2010-1] Workshop Report 2010,1 (2010) - (03 Jan - 09 Jan 2010)
      The general topic of the meeting was “Valued fields and related structures”. It included both applications of model theory, as well as so-called “pure” model theory: the classification of first order structures using new ...

    • 1245a - Non-Archimedean Analytic Geometry 

      [OWR-2012-53] Workshop Report 2012,53 (2012) - (04 Nov - 10 Nov 2012)
      The workshop focused on recent developments in non-Archimedean analytic geometry with various applications to arithmetic and algebraic geometry. These applications include questions in Arakelov theory, p-adic differential ...

    • 0732 - Permutation Groups 

      [OWR-2007-37] Workshop Report 2007,37 (2007) - (05 Aug - 11 Aug 2007)
      Abstract. The theory of permutation groups is essentially the theory of symmetry for mathematical and physical systems, and therefore has major impact in diverse areas of mathematics. Recent significant advances in permutation ...

    • 1325b - Quadratic Forms and Linear Algebraic Groups 

      [OWR-2013-31] Workshop Report 2013,31 (2013) - (16 Jun - 22 Jun 2013)
      Topics discussed at the workshop “Quadratic Forms and Linear Algebraic Groups” included besides the algebraic theory of quadratic and Hermitian forms and their Witt groups several aspects of the theory of linear algebraic ...