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DTSTART:20220327T030000
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DTSTAMP:20260405T232501Z
UID:1651748400@ist.ac.at
DTSTART:20220505T130000
DTEND:20220505T150000
DESCRIPTION:Speaker: Kien Nguyen Huu\nhosted by Tim Browning\nAbstract: Let
  f be a non-constant polynomial in n variables of degree d>1 with integer 
 coefficients. Suppose that g is the homogeneous part of highest degree of 
 f and the projective scheme V(g) associated with g is smooth. In the proof
  of Weil's conjecture\, Deligne showed that if p is a large enough prime t
 hen p^{-n}|\\sum_{x\\in (\\ZZ/p\\ZZ)^n}\\exp(2\\pi if(x)/p)|\\leq (d-1)^n 
 p^{-n/2}. It is natural to ask about an analogue of Deligne's theorem for 
 exponential sums modulo p^m. In this talk\, I will introduce a conjecture 
 on this question and my recent result in this direction.
LOCATION:Heinzel Seminar Room (I21.EG.101)\, Office Building West\, ISTA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at
SUMMARY:Kien Nguyen Huu: Exponential sums modulo p^m for Deligne polynomial
 s
URL:https://talks-calendar.ista.ac.at/events/3717
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