Browsing by MSC "11"

Now showing items 41-60 of 129

    • Equidistribution of Elements of Norm 1 in Cyclic Extensions 

      [OWP-2014-13] Petersen, Kathleen L.; Sinclair, Christopher D. (Mathematisches Forschungsinstitut Oberwolfach, 2014-08-20)
      Upon quotienting by units, the elements of norm 1 in a number field $K$ form a countable subset of a torus of dimension $r_1+r_2-1$ where $r_1$ are the numbers of real and pairs of complex embeddings. When $K$ is Galois ...

    • 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, ...

    • 1830 - Explicit Methods in Number Theory 

      [OWR-2018-34] (2018) - (22 Jul - 28 Jul 2018)
      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] (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] (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 ...

    • 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 ...

    • 0450 - Finite Fields: Theory and Applications 

      [OWR-2004-54] (2004) - (05 Dec - 11 Dec 2004)
      Finite fields are the focal point of many interesting geometric, algorithmic and combinatorial problems. The workshop was devoted to progress on these questions, with an eye also on the important applications of finite field ...

    • A Generalization of the Discrete Version of Minkowski’s Fundamental Theorem 

      [OWP-2014-17] González Merino, Bernardo; Henze, Matthias (Mathematisches Forschungsinstitut Oberwolfach, 2014)
      One of the most fruitful results from Minkowski’s geometric viewpoint on number theory is his so called 1st Fundamental Theorem. It provides an optimal upper bound for the volume of an o-symmetric convex body whose only ...

    • 0840 - Geometry and Arithmetic around Hypergeometric Functions 

      [OWR-2008-45] (2008) - (28 Sep - 04 Oct 2008)

    • 0501 - Gitter und Anwendungen 

      [OWR-2005-1] (2005) - (02 Jan - 08 Jan 2005)
      The meeting focussed on lattices and their applications in mathematics and information technology. The research interests of the participants varied from engineering sciences, algebraic and analytic number theory, coding ...

    • 2319 - Group Actions and Harmonic Analysis in Number Theory 

      [OWR-2023-22] (2023) - (07 May - 12 May 2023)
      This workshop focuses on new problems and new methods at the interface of harmonic analysis (taken in a very broad sense) and ergodic theory, with applications focused on number theory. Special emphasis is put on ...

    • 1721 - Harmonic Analysis and the Trace Formula 

      [OWR-2017-25] (2017) - (21 May - 27 May 2017)
      The purpose of this workshop was to discuss recent results in harmonic analysis that arise in the study of the trace formula. This theme is common to different directions of research on automorphic forms such as representation ...

    • 0742 - Harmonische Analysis und Darstellungstheorie Topologischer Gruppen 

      [OWR-2007-49] (2007) - (14 Oct - 20 Oct 2007)
      This was a meeting in the general area of representation theory and harmonic analysis on reductive groups.

    • Holomorphic automorphic forms and cohomology 

      [OWP-2014-07] Bruggeman, Roelof W.; Ch'oe, Yŏng-ju; Diamantis, Nikolaos (Mathematisches Forschungsinstitut Oberwolfach, 2014-04-25)
      We investigate the correspondence between holomorphic automorphic forms on the upper half-plane with complex weight and parabolic cocycles. For integral weights at least 2 this correspondence is given by the Eichler integral. ...

    • 1027 - Homogeneous Dynamics and Number Theory 

      [OWR-2010-29] (2010) - (04 Jul - 10 Jul 2010)
      The theory of flows on homogeneous spaces of Lie groups has emerged as a distinct, rapidly advancing subject over the last few decades incorporating ergodic theory, geometry and number theory. The workshop showcased the ...

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

      [OWR-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 ...

    • 2323 - Incidence Problems in Harmonic Analysis, Geometric Measure Theory, and Ergodic Theory 

      [OWR-2023-25] (2023) - (04 Jun - 09 Jun 2023)
      The workshop "Incidence Problems in Harmonic Analysis, Geometric Measure Theory, and Ergodic Theory" covered interactions between geometric problems involving fractals, dimensions, patterns, projections and incidences, and ...

    • 0650 - Infinite Dimensional Lie Theory 

      [OWR-2006-55] (2006) - (10 Dec - 16 Dec 2006)
      The workshop focussed on recent developments in infinite-dimensional Lie theory. The talks covered a broad range of topics, such as structure and classification theory of infinite-dimensional Lie algebras, geometry of ...