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Langlands Correspondence and Constructive Galois Theory

dc.date.accessioned2019-10-24T14:49:46Z
dc.date.available2019-10-24T14:49:46Z
dc.date.issued2014
dc.identifier.urihttp://publications.mfo.de/handle/mfo/3395
dc.description.abstractRecent 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 (resp. D-modules) on algebraic curves which subsumes the construction of classical sheaves, like rigid local systems, used in inverse Galois theory (by Belyi, Malle, Matzat, Thompson, Dettweiler, Reiter) for the construction of field extension of the rational function fields $\mathbb F_p(t)$ or $\mathbb Q(t)$ (recent work of Heinloth, Ngo, Yun and Yun). On the other hand, using Langlands correspondence for the field $\mathbb Q$, Khare, Larsen and Savin constructed many new automorphic representations which lead to new Galois realizations for classical and exceptional groups over $\mathbb Q$. It was the aim of the workshop, to bring together the experts working in the fields of Langlands correspondence and constructive Galois theory.
dc.titleLanglands Correspondence and Constructive Galois Theory
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWR-2014-5
local.series.idOWR-2014-5
local.subject.msc11
local.subject.msc14
local.subject.msc12
local.sortindex835
local.date-range02 Feb - 08 Feb 2014
local.workshopcode1406a
local.workshoptitleLanglands Correspondence and Constructive Galois Theory
local.organizersMichael Dettweiler, Bayreuth; Jochen Heinloth, Essen; Zhiwei Yun, Stanford
local.report-nameWorkshop Report 2014,5
local.opc-photo-id1406a
local.publishers-doi10.4171/OWR/2014/05
local.ems-referenceDettweiler Michael, Heinloth Jochen, Yun Zhiwei: Langlands Correspondence and Constructive Galois Theory. Oberwolfach Rep. 11 (2014), 287-334. doi: 10.4171/OWR/2014/05


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