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Arbeitsgemeinschaft: The Geometric Langlands Conjecture

dc.date.accessioned2019-10-24T15:16:37Z
dc.date.available2019-10-24T15:16:37Z
dc.date.issued2016
dc.identifier.urihttp://publications.mfo.de/handle/mfo/3524
dc.description.abstractThe Langlands program is a vast, loosely connected, collection of theorems and conjectures. At quite different ends, there is the geometric Langlands program, which deals with perverse sheaves on the stack of $G$-bundles on a smooth projective curve, and the local Langlands program over $p$-adic fields, which deals with the representation theory of $p$-adic groups. Recently, inspired by applications to p-adic Hodge theory, Fargues and Fontaine have associated with any $p$-adic field an object that behaves like a smooth projective curve. Fargues then suggested that one can interpret the geometric Langlands conjecture on this curve, to give a new approach towards the local Langlands program over $p$-adic fields.
dc.titleArbeitsgemeinschaft: The Geometric Langlands Conjecture
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-2016-20
local.series.idOWR-2016-20
local.subject.msc11
local.subject.msc22
local.subject.msc14
local.sortindex964
local.date-range03 Apr - 09 Apr 2016
local.workshopcode1614
local.workshoptitleArbeitsgemeinschaft: The Geometric Langlands Conjecture
local.organizersLaurent Fargues, Paris; Dennis Gaitsgory, Cambridge MA; Peter Scholze, Bonn; Kari Vilonen, Evanston
local.report-nameWorkshop Report 2016,20
local.opc-photo-id1614
local.publishers-doi10.4171/OWR/2016/20
local.ems-referenceFargues Laurent, Gaitsgory Dennis, Scholze Peter, Vilonen Kari: Arbeitsgemeinschaft: The Geometric Langlands Conjecture. Oberwolfach Rep. 13 (2016), 1027-1098. doi: 10.4171/OWR/2016/20


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