Linear equations in primes and dynamics of nilmanifolds

Tamar Ziegler

Linear equations in primes and dynamics of nilmanifolds

Tamar Ziegler^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Scopus citations

Abstract

In this paper we survey some of the ideas behind the recent developments in additive number theory, combinatorics and ergodic theory leading to the proof of Hardy-Littlewood type estimates for the number of prime solutions to systems of linear equations of finite complexity.

Original language	English
Title of host publication	Invited Lectures
Editors	Sun Young Jang, Young Rock Kim, Dae-Woong Lee, Ikkwon Yie
Publisher	KYUNG MOON SA Co. Ltd.
Pages	569-589
Number of pages	21
ISBN (Electronic)	9788961058056
State	Published - 2014
Event	2014 International Congress of Mathematicans, ICM 2014 - Seoul, Korea, Republic of Duration: 13 Aug 2014 → 21 Aug 2014

Publication series

Name	Proceeding of the International Congress of Mathematicans, ICM 2014
Volume	2

Conference

Conference	2014 International Congress of Mathematicans, ICM 2014
Country/Territory	Korea, Republic of
City	Seoul
Period	13/08/14 → 21/08/14

Bibliographical note

Publisher Copyright:
© 2014 Proceeding of the International Congress of Mathematicans, ICM 2014. All rights reserved.

Keywords

Arithmetic progressions
Gowers norms
HardyLittlewood conjectures
Multiple recurrence
Szemerédi's Theorem

Cite this

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Linear equations in primes and dynamics of nilmanifolds. / Ziegler, Tamar.
Invited Lectures. ed. / Sun Young Jang; Young Rock Kim; Dae-Woong Lee; Ikkwon Yie. KYUNG MOON SA Co. Ltd., 2014. p. 569-589 (Proceeding of the International Congress of Mathematicans, ICM 2014; Vol. 2).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Linear equations in primes and dynamics of nilmanifolds

Abstract

Publication series

Conference

Bibliographical note

Keywords

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Cite this