Emmanuel Kowalski
Published 2010-12-13Version 1
This is a survey report for the Bourbaki Seminar (Exp. no. 1028, November 2010) concerning sieve and expanders, in particular the recent works of Bourgain, Gamburd and Sarnak introducing "sieve in orbits", and the related developments concerning expansion properties of Cayley graphs of finite linear groups.
Comments: 35 pages, 1 figure; French version available at http://www.math.ethz.ch/~kowalski/papers-books.html
On the Iwasawa theory of Cayley graphs
Fields generated by characters of finite linear groups
The Vinogradov Mean Value Theorem [after Wooley, and Bourgain, Demeter and Guth]
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