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SUMMARY:Trevor Wooley (Purdue University)
DTSTART:20250401T190000Z
DTEND:20250401T200000Z
DTSTAMP:20260419T152759Z
UID:BC-MIT/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BC-MIT/19/">
 Optimal mean value estimates and function field arithmetic</a>\nby Trevor 
 Wooley (Purdue University) as part of BC-MIT number theory seminar\n\nLect
 ure held in Maloney 560 at Boston College.\n\nAbstract\nEssentially optima
 l estimates have been obtained for mean values of Vinogradov’s exponenti
 al sum as a consequence of the decoupling method (by Bourgain\, Demeter an
 d Guth)\, and the efficient congruencing method (by the speaker). Such wor
 k makes essential use of the fact that the system of Diophantine equations
  associated with these mean values is translation-dilation invariant. We r
 eport on progress for systems which are not translation-dilation invariant
  obtained by exploiting the arithmetic of function fields over the field o
 f p-adic numbers.\n
LOCATION:https://researchseminars.org/talk/BC-MIT/19/
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