AuForA
Financiado
Automorphic Forms and Arithmetic
This proposal is at the interface of number theory and automorphic forms and aims at a cross-fertilization of both areas. It focuses on explicit arithmetic problems that can be solved using the full force of the automorphic machin...
This proposal is at the interface of number theory and automorphic forms and aims at a cross-fertilization of both areas. It focuses on explicit arithmetic problems that can be solved using the full force of the automorphic machinery. Conversely it develops the theory of automorphic forms in higher rank using number theoretic methods.At the core are three sets of deep and longstanding open conjectures in higher rank cases:- the joint equidistribution conjectures of Michel and Venkatesh concerning the distribution of pairs of shifted CM points,- the “beyond endoscopy” program of Langlands of identifying functional lifts by a comparison of different trace formulae,- the density and optimal lifting conjectures of Sarnak concerning the behaviour of exceptional eigenvalues, and their arithmetic consequences.The key objects are certain Shimura varieties associated to abelian varieties, higher rank Kloosterman sums, families of L-functions, trace formulae and Hecke eigenvalues.By an interdisciplinary combination of analytic number theory and automorphic forms, the proposal aims at definitive progress and solutions to these three conjectures, each of which has been open for at least 15 years.
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Duración del proyecto: 59 meses
Fecha Inicio: 2023-04-01
Fecha Fin: 2028-03-31
Fecha Fin: 2028-03-31
Línea de financiación: concedida
El organismo HORIZON EUROPE notifico la concesión del proyecto el día 2023-04-01
Línea de financiación objetivo
El proyecto se financió a través de la siguiente ayuda:
ERC-2021-ADG:
ERC ADVANCED GRANTS
Cerrada
hace 3 años
Presupuesto
El presupuesto total del proyecto asciende a
2M€
Líder del proyecto
RHEINISCHE FRIEDRICHWILHELMSUNIVERSITAT BONN
No se ha especificado una descripción o un objeto social para esta compañía.
Perfil tecnológico
TRL
4-5
Perfil tecnológico
TRL
4-5