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Nested Efficient Congruencing and (non) translation-dilation invariance.

Recent developments in Analytic Number Theory May 01, 2017 - May 05, 2017

May 05, 2017 (03:30 PM PDT - 04:30 PM PDT)
Speaker(s): Trevor Wooley (University of Bristol)
Location: SLMath: Eisenbud Auditorium
Tags/Keywords

  • efficient congruencing method

  • translation dilation invariance

  • Vinogradov's mean value theorem

  • decoupling results

  • Vinogradov system of equations

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Wooley
Abstract

We discuss the nested refinement of the efficient congruencing method, which incorporates an idea from the l^2-decoupling work of Bourgain, Demeter and Guth. There are consequences for (non) translation-dilation invariant systems
Supplements
28405?type=thumb Wooley Notes 4.21 MB application/pdf Download
Video/Audio Files

Wooley

H.264 Video 17-Wooley.mp4 146 MB video/mp4 rtsp://videos.msri.org/Wooley/17-Wooley.mp4 Download
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