SPGSV

Some Problems in Geometry of Shimura Varieties

 Coordinatore UNIVERSITY COLLEGE LONDON 

Spiacenti, non ci sono informazioni su questo coordinatore. Contattare Fabio per maggiori infomrazioni, grazie.

 Nazionalità Coordinatore United Kingdom [UK]
 Totale costo 697˙037 €
 EC contributo 697˙037 €
 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) 2012-10-01   -   2017-09-30

 Partecipanti

# participant  country  role  EC contrib. [€] 
1    UNIVERSITY COLLEGE LONDON

 Organization address address: GOWER STREET
city: LONDON
postcode: WC1E 6BT

contact info
Titolo: Dr.
Nome: Andrei
Cognome: Yafaev
Email: send email
Telefono: +44 20 7679 2861

UK (LONDON) hostInstitution 697˙037.00
2    UNIVERSITY COLLEGE LONDON

 Organization address address: GOWER STREET
city: LONDON
postcode: WC1E 6BT

contact info
Titolo: Mr.
Nome: Giles
Cognome: Machell
Email: send email
Telefono: +44 20 3108 3020
Fax: +44 20 7816 2849

UK (LONDON) hostInstitution 697˙037.00

Mappa


 Word cloud

Esplora la "nuvola delle parole (Word Cloud) per avere un'idea di massima del progetto.

shimura    andre    yafaev    conjecture    oort    ullmo    klingler    ideas    varieties    pila    theory   

 Obiettivo del progetto (Objective)

'The Andre-Oort conjecture is an important problem in the theory of Shimura varieties. It also has significant applications in other areas of Number Theory, such as transcendence theory. The conjecture was proved assuming the Generalised Riemann Hypothesis by Klingler, Ullmo and Yafaev. Very recently, Jonathan Pila came up with a very promising strategy for proving the Andre-Oort conjecture unconditionally. The first main aim of this proposal is to combine Pila's ideas with the ideas of Klingler-Ullmo-Yafaev in order to obtain a proof of the Andre-Oort conjecture without the assumption of the GRH. We then propose to use these methods to attack the Zilber-Pink conjecture, a very vast generalisation of Andre-Oort. We also propose to consider several problems closely related to geometry of Shimura Varieties and the Andr'e-Oort conjecture. Namely Coleman's cponjecture on finiteness of the number of Jacobians with complex multiplication for curves of large genus, the Mumford-Tate conjecture on Galois representations attached to abelian varieties over number field and Lang's conjecture on rational points on hyperbolic varieties in the context of Shimura varieties.'

Altri progetti dello stesso programma (FP7-IDEAS-ERC)

IMMUNOSWITCH (2009)

Switch recombination: a model system for DNA editing and repair in human lymphocytes with relevance for primary immunodeficiency and cancer formation

Read More  

LIPIDARRAY (2014)

Development and application of global lipidomic arrays to inflammatory vascular disease

Read More  

DD-PD (2012)

A novel mechanism to regulate gene expression in the brain

Read More