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SUMMARY:Alex Smith (Stanford)
DTSTART:20220205T233000Z
DTEND:20220206T003000Z
DTSTAMP:20260423T005819Z
UID:SCNTD2022/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SCNTD2022/4/
 ">Simple abelian varieties over finite fields with extreme point counts</a
 >\nby Alex Smith (Stanford) as part of Southern California Number Theory D
 ay\n\nLecture held in APM 6402 and online.\n\nAbstract\nGiven a compactly 
 supported probability measure on the reals\, we will give a necessary and 
 sufficient condition for there to be a sequence of totally real algebraic 
 integers whose distribution of conjugates approaches the measure. We use t
 his result to prove that there are infinitely many totally positive algebr
 aic integers X satisfying tr(X)/deg(X) < 1.899\; previously\, there were o
 nly known to be infinitely many such integers satisfying tr(X)/deg(X) < 2.
  We also will explain how our method can be used in the search for simple 
 abelian varieties with extreme point counts.\n
LOCATION:https://researchseminars.org/talk/SCNTD2022/4/
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