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SUMMARY:Kloosterman sums and Siegel zeros
DTSTART:20180410T134500
DTEND:20180410T144500
DTSTAMP:20260924T120906Z
UID:f341d2a23b55e476e5292bbe48e314663d09991587320883549fba12
CATEGORIES:Conferences - Seminars
DESCRIPTION:James Maynard (University of Oxford)\nKloosterman sums arise n
 aturally in the study of the distribution of various arithmetic objects in
  analytic number theory. The 'vertical' Sato-Tate law of Katz describes th
 eir distribution over a fixed field F_p\, but the equivalent 'horizontal' 
 distribution as the base field varies over primes remains open. We describ
 e work showing cancellation in the sum over primes if there are exceptiona
 l Siegel-Landau zeros. This is joint work with Sary Drappeau\, relying on 
 a fun blend of ideas from algebraic geometry\, the spectral theory of auto
 morphic forms and sieve theory.
LOCATION:MA A1 12 https://plan.epfl.ch/?room=MAA112
STATUS:CONFIRMED
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