Obiettivo "In recent years there has been impressive development of the higher category theory and in particular development of the categorical counterpart of the Langlands conjecture over fields of finite characteristic. But until now, this development has had little bearing on the classical problems which deal with spaces of functions. The main goal of this proposal is to build the technique to apply the category theory to classical problems. Of course on the way I will have to deal with problems in the categorical realm.The first part of the proposal deals with construction of characters of irreducible representations of reductive groups over local nonarchimedian fields F in terms of traces of the Frobenious endomorphisms which should lead to the proof of the ""Stable center conjecture"" at least for representations of depth zero.The second part is on the extension of the definition of L-functions of representations of reductive F-groups corresponding to an arbitrary representation of the dual groups. As it is now, the definition is known only for very special representations of the dual group and only in the case of classical groups.The third part is on the extension of the classical theory to representations of Kac-Moody groups over local fields." Campo scientifico natural sciencesmathematicspure mathematicsalgebranatural sciencesmathematicspure mathematicsarithmeticsL-functions Parole chiave Representation theory Infinity categories l-adic sheaves Programma(i) H2020-EU.1.1. - EXCELLENT SCIENCE - European Research Council (ERC) Main Programme Argomento(i) ERC-ADG-2014 - ERC Advanced Grant Invito a presentare proposte ERC-2014-ADG Vedi altri progetti per questo bando Meccanismo di finanziamento ERC-ADG - Advanced Grant Istituzione ospitante THE HEBREW UNIVERSITY OF JERUSALEM Contribution nette de l'UE € 1 569 488,00 Indirizzo EDMOND J SAFRA CAMPUS GIVAT RAM 91904 Jerusalem Israele Mostra sulla mappa Tipo di attività Higher or Secondary Education Establishments Collegamenti Contatta l’organizzazione Opens in new window Sito web Opens in new window Partecipazione a programmi di R&I dell'UE Opens in new window Rete di collaborazione HORIZON Opens in new window Costo totale € 1 569 488,00 Beneficiari (1) Classifica in ordine alfabetico Classifica per Contributo netto dell'UE Espandi tutto Riduci tutto THE HEBREW UNIVERSITY OF JERUSALEM Israele Contribution nette de l'UE € 1 569 488,00 Indirizzo EDMOND J SAFRA CAMPUS GIVAT RAM 91904 Jerusalem Mostra sulla mappa Tipo di attività Higher or Secondary Education Establishments Collegamenti Contatta l’organizzazione Opens in new window Sito web Opens in new window Partecipazione a programmi di R&I dell'UE Opens in new window Rete di collaborazione HORIZON Opens in new window Costo totale € 1 569 488,00
