EMRCC
Effective methods in rigid and crystalline cohomology
| Coordinatore | THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD
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| Nazionalità Coordinatore | United Kingdom [UK] |
| Totale costo | 750˙000 € |
| EC contributo | 750˙000 € |
| 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-2007-StG |
| Funding Scheme | ERC-SG |
| Anno di inizio | 2008 |
| Periodo (anno-mese-giorno) | 2008-10-01 - 2013-09-30 |
Partecipanti
| # | ||||
|---|---|---|---|---|
| 1 |
THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD
Organization address
address: University Offices, Wellington Square contact info |
UK (OXFORD) | hostInstitution | 0.00 |
| 2 |
THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD
Organization address
address: University Offices, Wellington Square contact info |
UK (OXFORD) | hostInstitution | 0.00 |
Mappa
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Obiettivo del progetto (Objective)
'The purpose of the project is to develop methods for computing with the rigid and crystalline cohomology of varieties over finite fields. The project will focus on two main problems. First, the fast computation of the Galois action. Second, the effective computation of the cycle class map, and the inverse problem of explicitly recovering algebraic cycles from Galois-invariant cohomology classes (c.f. the Tate conjecture). Research on the first problem would be a natural extension of on-going work of the Prinicipal Investigator and others. By contrast the second problem is entirely new, at least in the context of computational number theory. The overall goal of the project is to provide methods and software which will extend the range of application of computational number theory within the mathematical sciences.'