FANTAST
Frontiers of Analytic Number Theory And Selected Topics
| Coordinatore | UNIVERSITY OF BRISTOL
Spiacenti, non ci sono informazioni su questo coordinatore. Contattare Fabio per maggiori infomrazioni, grazie. |
| Nazionalità Coordinatore | United Kingdom [UK] |
| Totale costo | 801˙187 € |
| EC contributo | 801˙187 € |
| 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-2012-StG_20111012 |
| Funding Scheme | ERC-SG |
| Anno di inizio | 2012 |
| Periodo (anno-mese-giorno) | 2012-12-01 - 2017-11-30 |
Partecipanti
| # | ||||
|---|---|---|---|---|
| 1 |
UNIVERSITY OF BRISTOL
Organization address
address: TYNDALL AVENUE SENATE HOUSE contact info |
UK (BRISTOL) | hostInstitution | 801˙187.00 |
| 2 |
UNIVERSITY OF BRISTOL
Organization address
address: TYNDALL AVENUE SENATE HOUSE contact info |
UK (BRISTOL) | hostInstitution | 801˙187.00 |
Mappa
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Obiettivo del progetto (Objective)
'This proposal sits at the interface of analytic number theory and selected topics, viewed through the prism of Diophantine equations defining higher-dimensional algebraic varieties. A core part of the proposal involves using analytic methods (such as complex analysis, Fourier analysis and additive combinatorics) to tackle a range of problems about Diophantine equations. These include such basic questions as precisely when families of equations admit integer or rational solutions and, furthermore, how ``dense' these solutions are when they exist. In the reverse direction, a significant component of the proposal is dedicated to established problems in number theory (such as stable cohomology of moduli spaces and uniform spectral gaps for arithmetic lattices) which can be tackled via the successful analysis of intermediary Diophantine equations.'