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Analytic Number Theory Graduate Student Seminar March 14, 2017 (04:00 PM PDT - 05:00 PM PDT)
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Location: MSRI: Baker Board Room
Speaker(s) Aled Walker (University of Oxford)
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4.00pm: Pierre-Yves Bienvenu

Title: The polynomial method with application to arithmetic combinatorics in function fields. 

Abstract: We describe a version of the Croot-Lev-Pach polynomial method that had great success last year in arithmetic combinatorics and an application in the function field setting.

4.30pm: Aled Walker

Title: Pair correlations of fractional parts of sequences. 

Abstract: It has been known since Vinogradov that, for irrational a, the sequence of fractional parts {ap} is equidistributed in the torus R/Z as p ranges over the primes. In this talk we discuss a stronger equidistribution property, a pair correlation of such fractional parts, which has recently received renewed interest, in particular regarding its relation to additive combinatorics.

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