Mathematics > Algebraic Topology - arXiv

... and conjectures about the modular representation theory of the general linear group GLn(F2) and the Poincaré series of unstable modules. AccessiblearXiv DoyounavigatearXivusingascreenreaderorotherassistivetechnology?Areyouaprofessorwhohelpsstudentsdoso?Wewanttohearfromyou. PleaseconsidersigninguptoshareyourinsightsasweworktomakearXivevenmoreopen. ShareInsights Mathematics>AlgebraicTopology arXiv:1408.1322(math) [Submittedon6Aug2014] Title:QuestionsandconjecturesaboutthemodularrepresentationtheoryofthegenerallineargroupGLn(F2)andthePoincaréseriesofunstablemodules Authors:DelamotteKirian(LAGA),DangHoHaiNdhhNguyen,LionelSchwartz(LAGA) DownloadPDF Abstract:Thisnoteisdevotedtosomequestionsabouttherepresentationtheoryover thefinitefield$\mathbb{F}_2$ofthegenerallineargroups $\mathbb{GL_n(F_2)}$andPoincaréseriesofunstablemodules.Thefirstdraft wasdescribingtwoconjectures.TheywerepresentedduringtalksmadeatVIASM insummer2013.Sincethenoneconjecturehasbeendisproved,theotheronehas beenproved.Theseresultsnaturallyleadtonewquestionswhicharegoingto bediscussed.Inwinter2013,NguyenDangHoHaiprovedthesecondconjecture, hedisprovedthefirstoneinspring2014.Uptonow,theproofofthesecond onedependsonamajortopologicalresult:theSegalconjecture.This discussioncouldbeextendedtoanoddprime,butwewillnotdoithere,just asmallnumberofremarkswillbemade. Subjects: AlgebraicTopology(math.AT) Citeas: arXiv:1408.1322[math.AT]   (or arXiv:1408.1322v1[math.AT]forthisversion)   https://doi.org/10.48550/arXiv.1408.1322 Focustolearnmore arXiv-issuedDOIviaDataCite SubmissionhistoryFrom:LionelSchwartz[viewemail] [viaCCSDproxy] [v1] Wed,6Aug201415:37:57UTC(12KB) Full-textlinks: Download: PDF PostScript Otherformats (license) Currentbrowsecontext:math.AT new | recent | 1408 Changetobrowseby: math References&Citations NASAADSGoogleScholar SemanticScholar a exportbibtexcitation Loading... Bibtexformattedcitation × loading... Dataprovidedby: Bookmark BibliographicTools BibliographicandCitationTools BibliographicExplorerToggle BibliographicExplorer(WhatistheExplorer?) LitmapsToggle Litmaps(WhatisLitmaps?) scite.aiToggle sciteSmartCitations(WhatareSmartCitations?) Code&Data CodeandDataAssociatedwiththisArticle arXivLinkstoCodeToggle arXivLinkstoCode&Data(WhatisLinkstoCode&Data?) Demos Demos ReplicateToggle Replicate(WhatisReplicate?) RelatedPapers RecommendersandSearchTools ConnectedPapersToggle ConnectedPapers(WhatisConnectedPapers?) Corerecommendertoggle CORERecommender(WhatisCORE?) AboutarXivLabs arXivLabs:experimentalprojectswithcommunitycollaborators arXivLabsisaframeworkthatallowscollaboratorstodevelopandsharenewarXivfeaturesdirectlyonourwebsite. BothindividualsandorganizationsthatworkwitharXivLabshaveembracedandacceptedourvaluesofopenness,community,excellence,anduserdataprivacy.arXiviscommittedtothesevaluesandonlyworkswithpartnersthatadheretothem. HaveanideaforaprojectthatwilladdvalueforarXiv'scommunity?LearnmoreaboutarXivLabsandhowtogetinvolved. Whichauthorsofthispaperareendorsers?| DisableMathJax(WhatisMathJax?)