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ErgComNum SIGNED

Ergodic theory and additive combinatorics

Total Cost €

EC-Contrib. €

Partnership

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Outcomes and
results

ErgComNum project word cloud

Explore the words cloud of the ErgComNum project. It provides you a very rough idea of what is the project "ErgComNum" about.

hardy littlewood seemingly ideas combinatorics solutions nilmanifolds additive poincare played dynamical attracting decade ergodic last computer young fruitful mathematics fast proved body theoretical resolution estimates tackle initiated linear interplay finite equations central off theory striking science area dynamics complexity prime spring proof

Project "ErgComNum" data sheet

The following table provides information about the project.

Coordinator	THE HEBREW UNIVERSITY OF JERUSALEM Organization address address: EDMOND J SAFRA CAMPUS GIVAT RAM city: JERUSALEM postcode: 91904 website: www.huji.ac.il contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.
Coordinator Country	Israel [IL]
Project website	http://www.ma.huji.ac.il/
Total cost	1˙342˙500 €
EC max contribution	1˙342˙500 € (100%)
Programme	1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
Code Call	ERC-2015-CoG
Funding Scheme	ERC-COG
Starting year	2016
Duration (year-month-day)	from 2016-05-01 to 2021-04-30

Partnership

Take a look of project's partnership.

#	participants	country	role	EC contrib. [€]
1	THE HEBREW UNIVERSITY OF JERUSALEM THE HEBREW UNIVERSITY OF JERUSALEM Organization address address: EDMOND J SAFRA CAMPUS GIVAT RAM city: JERUSALEM postcode: 91904 website: www.huji.ac.il contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	IL (JERUSALEM)	coordinator	1˙342˙500.00

Map

Project objective

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.

Publications

List of publications.
year	authors and title	journal	last update
2019	Aihua Fan, Jakub Konieczny On uniformity of qâ€multiplicative sequences published pages: 466-488, ISSN: 0024-6093, DOI: 10.1112/blms.12245	Bulletin of the London Mathematical Society 51/3	2019-08-06
2018	Tanja Eisner, Jakub Konieczny Automatic sequences as good weights for ergodic theorems published pages: 4087-4115, ISSN: 1553-5231, DOI: 10.3934/dcds.2018178	Discrete & Continuous Dynamical Systems - A 38/8	2019-08-06
2018	Jakub Byszewski, Jakub Konieczny Factors of generalised polynomials and automatic sequences published pages: 981-985, ISSN: 0019-3577, DOI: 10.1016/j.indag.2018.03.003	Indagationes Mathematicae 29/3	2019-08-06
2019	David Kazhdan, Tamar Ziegler Polynomial functions as splines published pages: , ISSN: 1022-1824, DOI: 10.1007/s00029-019-0476-9	Selecta Mathematica 25/2	2019-08-06
2017	David Kazhdan, Tamar Ziegler Approximate cohomology published pages: , ISSN: 1022-1824, DOI: 10.1007/s00029-017-0335-5	Selecta Mathematica	2019-06-18
2017	David Kazhdan, Tamar Ziegler On the bias of cubic polynomials published pages: , ISSN: 1022-1824, DOI: 10.1007/s00029-017-0358-y	Selecta Mathematica	2019-06-18
2017	Terence Tao, Tamar Ziegler Polynomial patterns in primes published pages: , ISSN: 2050-5086, DOI:	Forum of Mathematics, PI	2019-06-18
2018	David Kazhdan, Tamar Ziegler On Ranks of Polynomials published pages: 1017-1021, ISSN: 1386-923X, DOI: 10.1007/s10468-018-9783-7	Algebras and Representation Theory 21/5	2019-05-09

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