AAMOT
Arithmetic of automorphic motives
| Coordinatore | UNIVERSITE PARIS DIDEROT - PARIS 7
Spiacenti, non ci sono informazioni su questo coordinatore. Contattare Fabio per maggiori infomrazioni, grazie. |
| Nazionalità Coordinatore | France [FR] |
| Totale costo | 1˙491˙348 € |
| EC contributo | 1˙491˙348 € |
| Programma | FP7-IDEAS-ERC
Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) |
| Code Call | ERC-2011-ADG_20110209 |
| Funding Scheme | ERC-AG |
| Anno di inizio | 2012 |
| Periodo (anno-mese-giorno) | 2012-06-01 - 2017-05-31 |
Partecipanti
| # | ||||
|---|---|---|---|---|
| 1 |
UNIVERSITE PARIS DIDEROT - PARIS 7
Organization address
address: RUE THOMAS MANN 5 contact info |
FR (PARIS) | hostInstitution | 1˙491˙348.00 |
| 2 |
UNIVERSITE PARIS DIDEROT - PARIS 7
Organization address
address: RUE THOMAS MANN 5 contact info |
FR (PARIS) | hostInstitution | 1˙491˙348.00 |
Mappa
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Obiettivo del progetto (Objective)
'The primary purpose of this project is to build on recent spectacular progress in the Langlands program to study the arithmetic properties of automorphic motives constructed in the cohomology of Shimura varieties. Because automorphic methods are available to study the L-functions of these motives, which include elliptic curves and certain families of Calabi-Yau varieties over totally real fields (possibly after base change), they represent the most accessible class of varieties for which one can hope to verify fundamental conjectures on special values of L-functions, including Deligne's conjecture and the Main Conjecture of Iwasawa theory. Immediate goals include the proof of irreducibility of automorphic Galois representations; the establishment of period relations for automorphic and potentially automorphic realizations of motives in the cohomology of distinct Shimura varieties; the construction of p-adic L-functions for these and related motives, notably adjoint and tensor product L-functions in p-adic families; and the geometrization of the p-adic and mod p Langlands program. All four goals, as well as the others mentioned in the body of the proposal, are interconnected; the final goal provides a bridge to related work in geometric representation theory, algebraic geometry, and mathematical physics.'