HAS
Financiado
Harmonic Analysis and l adic sheaves
"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, th...
"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."
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Duración del proyecto: 87 meses
Fecha Inicio: 2015-06-17
Fecha Fin: 2022-09-30
Fecha Fin: 2022-09-30
Línea de financiación: concedida
El organismo H2020 notifico la concesión del proyecto el día 2022-09-30
Línea de financiación objetivo
El proyecto se financió a través de la siguiente ayuda:
ERC-ADG-2014:
ERC Advanced Grant
Cerrada
hace 10 años
Presupuesto
El presupuesto total del proyecto asciende a
2M€
Líder del proyecto
THE HEBREW UNIVERSITY OF JERUSALEM
No se ha especificado una descripción o un objeto social para esta compañía.
Perfil tecnológico
TRL
4-5
Perfil tecnológico
TRL
4-5
864.93K€ |
Participante