Cel 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. Dziedzina nauki natural sciencescomputer and information sciencescomputational sciencenatural sciencesmathematicspure mathematicsgeometrynatural sciencesmathematicspure mathematicsdiscrete mathematicscombinatoricsnatural sciencesmathematicspure mathematicsarithmeticsprime numbersnatural sciencesmathematicspure mathematicsalgebraalgebraic geometry Program(-y) H2020-EU.1.1. - EXCELLENT SCIENCE - European Research Council (ERC) Main Programme Temat(-y) ERC-CoG-2015 - ERC Consolidator Grant Zaproszenie do składania wniosków ERC-2015-CoG Zobacz inne projekty w ramach tego zaproszenia System finansowania ERC-COG - Consolidator Grant Instytucja przyjmująca THE HEBREW UNIVERSITY OF JERUSALEM Wkład UE netto € 1 342 500,00 Adres EDMOND J SAFRA CAMPUS GIVAT RAM 91904 Jerusalem Izrael Zobacz na mapie Rodzaj działalności Higher or Secondary Education Establishments Linki Kontakt z organizacją Opens in new window Strona internetowa Opens in new window Uczestnictwo w unijnych programach w zakresie badań i innowacji Opens in new window sieć współpracy HORIZON Opens in new window Koszt całkowity € 1 342 500,00 Beneficjenci (1) Sortuj alfabetycznie Sortuj według wkładu UE netto Rozwiń wszystko Zwiń wszystko THE HEBREW UNIVERSITY OF JERUSALEM Izrael Wkład UE netto € 1 342 500,00 Adres EDMOND J SAFRA CAMPUS GIVAT RAM 91904 Jerusalem Zobacz na mapie Rodzaj działalności Higher or Secondary Education Establishments Linki Kontakt z organizacją Opens in new window Strona internetowa Opens in new window Uczestnictwo w unijnych programach w zakresie badań i innowacji Opens in new window sieć współpracy HORIZON Opens in new window Koszt całkowity € 1 342 500,00