Objetivo 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. Ámbito científico natural sciencescomputer and information sciencescomputational sciencenatural sciencesmathematicspure mathematicsgeometrynatural sciencesmathematicspure mathematicsdiscrete mathematicscombinatoricsnatural sciencesmathematicspure mathematicsarithmeticsprime numbersnatural sciencesmathematicspure mathematicsalgebraalgebraic geometry Programa(s) H2020-EU.1.1. - EXCELLENT SCIENCE - European Research Council (ERC) Main Programme Tema(s) ERC-CoG-2015 - ERC Consolidator Grant Convocatoria de propuestas ERC-2015-CoG Consulte otros proyectos de esta convocatoria Régimen de financiación ERC-COG - Consolidator Grant Institución de acogida THE HEBREW UNIVERSITY OF JERUSALEM Aportación neta de la UEn € 1 342 500,00 Dirección EDMOND J SAFRA CAMPUS GIVAT RAM 91904 Jerusalem Israel Ver en el mapa Tipo de actividad Higher or Secondary Education Establishments Enlaces Contactar con la organización Opens in new window Sitio web Opens in new window Participación en los programas de I+D de la UE Opens in new window Red de colaboración de HORIZON Opens in new window Coste total € 1 342 500,00 Beneficiarios (1) Ordenar alfabéticamente Ordenar por aportación neta de la UE Ampliar todo Contraer todo THE HEBREW UNIVERSITY OF JERUSALEM Israel Aportación neta de la UEn € 1 342 500,00 Dirección EDMOND J SAFRA CAMPUS GIVAT RAM 91904 Jerusalem Ver en el mapa Tipo de actividad Higher or Secondary Education Establishments Enlaces Contactar con la organización Opens in new window Sitio web Opens in new window Participación en los programas de I+D de la UE Opens in new window Red de colaboración de HORIZON Opens in new window Coste total € 1 342 500,00