Browsing Oberwolfach Reports by MSC "12"
Now showing items 120 of 31

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 ... 
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 ... 
1823a  Field Arithmetic
[OWR201825] (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)
[OWR202112] (2021)  (07 Mar  13 Mar 2021)In his "Letter to Faltings'', Grothendieck lays the foundation of what will become part of his multifaceted legacy to arithmetic geometry. This includes the following three branches discussed in the workshop: the arithmetic ... 
1406a  Langlands Correspondence and Constructive Galois Theory
[OWR20145] (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 ladic sheaves ... 
2339a  MFORIMS Tandem Workshop 2023: Arithmetic Homotopy and Galois Theory
[OWR202342] (2023)  (24 Sep  29 Sep 2023)This report presents a general panorama of recent progress in the arithmeticgeometry theory of Galois and homotopy groups and its ramifications. While still relying on Grothendieck's original pillars, the present program ... 
1816a  MiniWorkshop: Arithmetic Geometry and Symmetries around Galois and Fundamental Groups
[OWR201817] (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  MiniWorkshop: Surreal Numbers, Surreal Analysis, Hahn Fields and Derivations
[OWR201660] (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  MiniWorkshop: Topological and Differential Expansions of ominimal Structures
[OWR202252] (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 ominimal structures preserving tame ... 
0703  Model Theory and Groups
[OWR20072] (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
[OWR20101] (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 socalled “pure” model theory: the classification of first order structures using new ... 
1245a  NonArchimedean Analytic Geometry
[OWR201253] (2012)  (04 Nov  10 Nov 2012)The workshop focused on recent developments in nonArchimedean analytic geometry with various applications to arithmetic and algebraic geometry. These applications include questions in Arakelov theory, padic differential ... 
0732  Permutation Groups
[OWR200737] (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
[OWR201331] (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 ...