• 1744a - Interplay between Number Theory and Analysis for Dirichlet Series 

      [OWR-2017-51] (2017) - (29 Oct - 04 Nov 2017)
      In recent years a number of challenging research problems have crystallized in the analytic theory of Dirichlet series and its interaction with function theory in polydiscs. Their solutions appear to require unconventional ...
    • 0740 - Komplexe Algebraische Geometrie 

      [OWR-2007-47] (2007) - (30 Sep - 06 Oct 2007)
      The Conference focused on several classical theories in the realm of complex algebraic geometry, such as Abelian Varieties, Jacobians and Pryms, Moduli spaces, Variation of Hodge structures and Algebraic surfaces. New ...
    • 2034 - Komplexe Analysis - Algebraicity and Transcendence (hybrid meeting) 

      [OWR-2020-24] (2020) - (16 Aug - 22 Aug 2020)
      This is the report of the Oberwolfach workshop Komplexe Analysis 2020. It was mainly devoted to the transcendental methods of complex algebraic geometry and featured eighteen talks about recent important developments in ...
    • l-Torsion Bounds for the Class Group of Number Fields with an l -Group as Galois Group 

      [OWP-2020-11] Klüners, Jürgen; Wang, Jiuya (Mathematisches Forschungsinstitut Oberwolfach, 2020-05-04)
      We describe the relations among the $\ell$-torsion conjecture for $\ell$-extensions, the discriminant multiplicity conjecture for nilpotent extensions and a conjecture of Malle giving an upper bound for the number of ...
    • 1406a - Langlands Correspondence and Constructive Galois Theory 

      [OWR-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 ...
    • 1646 - Large Scale Stochastic Dynamics 

      [OWR-2016-54] (2016) - (13 Nov - 19 Nov 2016)
      The goal of this workshop was to explore the recent advances in the mathematical understanding of the macroscopic properties which emerge on large space-time scales from interacting microscopic particle systems. There were ...
    • 1603 - Lattices and Applications in Number Theory 

      [OWR-2016-3] (2016) - (17 Jan - 23 Jan 2016)
      This is a report on the workshop on Lattices and Applications in Number Theory held in Oberwolfach, from January 17 to January 23, 2016. The workshop brought together people working in various areas related to the field: ...
    • 1434 - Low-dimensional Topology and Number Theory 

      [OWR-2014-38] (2014) - (17 Aug - 23 Aug 2014)
      The workshop brought together topologists and number theorists with the intent of exploring the many tantalizing connections between these areas.
    • 1235 - Low-Dimensional Topology and Number Theory 

      [OWR-2012-42] (2012) - (26 Aug - 01 Sep 2012)
      The workshop brought together topologists and number theorists with the intent of exploring the many tantalizing connections between these areas.
    • 1033 - Low-Dimensional Topology and Number Theory 

      [OWR-2010-35] (2010) - (15 Aug - 21 Aug 2010)
      The workshop on Low-Dimensional Topology and Number Theory brought together researchers in these areas with the intent of exploring the many tantalizing connections between Low-Dimensional Topology and Number Theory. Some ...
    • 1734 - Low-dimensional Topology and Number Theory 

      [OWR-2017-38] (2017) - (20 Aug - 26 Aug 2017)
      The workshop brought together topologists and number theorists with the intent of exploring the many tantalizing connections between these areas.
    • 2035 - Low-Dimensional Topology and Number Theory (individual research only) 

      [OWR-2020-25] (2020) - (23 Aug - 29 Aug 2020)
      Because of the pandemia, the workshop on "Low-Dimensional Topology and Number Theory" could not be realized in the usual format or in the new hybrid format. Instead, a subgroup consisting of 6 participants used the week ...
    • The Magic Square of Reflections and Rotations 

      [OWP-2018-13] Buchweitz, Ragnar-Olaf; Faber, Eleonore; Ingalls, Colin (Mathematisches Forschungsinstitut Oberwolfach, 2018-07-01)
      We show how Coxeter’s work implies a bijection between complex reflection groups of rank two and real reflection groups in 0(3). We also consider this magic square of reflections and rotations in the framework of Clifford ...
    • Maximal Quaternion Orders in Quadratic Extensions - in Hurwitz’s Diaries 

      [OWP-2020-16] Oswald, Nicola; Steuding, Jörn (Mathematisches Forschungsinstitut Oberwolfach, 2020-08-03)
      We present and comment on some unpublished work of Adolf Hurwitz on quaternion arithmetic from his diaries.
    • 2339a - MFO-RIMS Tandem Workshop 2023: Arithmetic Homotopy and Galois Theory 

      [OWR-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 ...
    • 1050a - Mini-Workshop: 1-Motives 

      [OWR-2010-55] (2010) - (12 Dec - 18 Dec 2010)
      One-motives were introduced by Deligne in 1974 [10], as a generalization of the theory of semiabelian varieties. Viewed today, after Voevodsky’s theory of mixed motives [31], it can be understood as motives of level ≤ 1. ...
    • 0508c - Mini-Workshop: Analytical and Numerical Methods in Image and Surface Processing 

      [OWR-2005-10] (2005) - (20 Feb - 26 Feb 2005)
      The workshop successfully brought together researchers from mathematical analysis, numerical mathematics, computer graphics and image processing. The focus was on variational methods in image and surface processing such ...
    • 1034b - Mini-Workshop: Combinatorics on Words 

      [OWR-2010-37] (2010) - (22 Aug - 28 Aug 2010)
      The area of combinatorics on words is concerned with properties of sequences of symbols. It is characteristic to the field that questions arise from various mathematical problems, and hence, many fundamental results on ...
    • 1644c - Mini-Workshop: Computations in the Cohomology of Arithmetic Groups 

      [OWR-2016-52] (2016) - (30 Oct - 05 Nov 2016)
      Explicit calculations play an important role in the theoretical development of the cohomology of groups and its applications. It is becoming more common for such calculations to be derived with the aid of a computer. This ...
    • 1215c - Mini-Workshop: Endomorphisms, Semigroups and C*-Algebras of Rings 

      [OWR-2012-20] (2012) - (08 Apr - 14 Apr 2012)
      The main aim of the workshop was to explore recent progress in the study of endomorphisms of $C*$-algebras, semigroup crossed products, graph algebras, ring $C*$-algebras, purely infinite $C*$-algebras and related algebraic ...