Obiettivo The last decade has witnessed a new spring for dynamical systems. The field - initiated by Poincare in the study of the N-body problem - has become essential in the understanding of seemingly far off fields such as combinatorics, number theory and theoretical computer science. In particular, ideas from ergodic theory played an important role in the resolution of long standing open problems in combinatorics and number theory. A striking example is the role of dynamics on nilmanifolds in the recent proof of Hardy-Littlewood estimates for the number of solutions to systems of linear equations of finite complexity in the prime numbers. The interplay between ergodic theory, number theory and additive combinatorics has proved very fruitful; it is a fast growing area in mathematics attracting many young researchers. We propose to tackle central open problems in the area. Campo scientifico natural sciencescomputer and information sciencescomputational sciencenatural sciencesmathematicspure mathematicsgeometrynatural sciencesmathematicspure mathematicsdiscrete mathematicscombinatoricsnatural sciencesmathematicspure mathematicsarithmeticsprime numbersnatural sciencesmathematicspure mathematicsalgebraalgebraic geometry Programma(i) H2020-EU.1.1. - EXCELLENT SCIENCE - European Research Council (ERC) Main Programme Argomento(i) ERC-CoG-2015 - ERC Consolidator Grant Invito a presentare proposte ERC-2015-CoG Vedi altri progetti per questo bando Meccanismo di finanziamento ERC-COG - Consolidator Grant Istituzione ospitante THE HEBREW UNIVERSITY OF JERUSALEM Contribution nette de l'UE € 1 342 500,00 Indirizzo EDMOND J SAFRA CAMPUS GIVAT RAM 91904 Jerusalem Israele Mostra sulla mappa Tipo di attività Higher or Secondary Education Establishments Collegamenti Contatta l’organizzazione Opens in new window Sito web Opens in new window Partecipazione a programmi di R&I dell'UE Opens in new window Rete di collaborazione HORIZON Opens in new window Costo totale € 1 342 500,00 Beneficiari (1) Classifica in ordine alfabetico Classifica per Contributo netto dell'UE Espandi tutto Riduci tutto THE HEBREW UNIVERSITY OF JERUSALEM Israele Contribution nette de l'UE € 1 342 500,00 Indirizzo EDMOND J SAFRA CAMPUS GIVAT RAM 91904 Jerusalem Mostra sulla mappa Tipo di attività Higher or Secondary Education Establishments Collegamenti Contatta l’organizzazione Opens in new window Sito web Opens in new window Partecipazione a programmi di R&I dell'UE Opens in new window Rete di collaborazione HORIZON Opens in new window Costo totale € 1 342 500,00