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SUMMARY:Alexander D. Smith (UCLA)
DTSTART:20240409T190000Z
DTEND:20240409T200000Z
DTSTAMP:20260419T151249Z
UID:BC-MIT/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BC-MIT/7/">S
 imple abelian varieties over finite fields with extreme point counts</a>\n
 by Alexander D. Smith (UCLA) as part of BC-MIT number theory seminar\n\nLe
 cture held in Maloney 560 at Boston College.\n\nAbstract\nGiven a compactl
 y supported probability measure on the reals\, we will give a necessary an
 d sufficient condition for there to be a sequence of totally real algebrai
 c integers whose distribution of conjugates approaches the measure. We use
  this result to prove that there are infinitely many totally positive alge
 braic integers X satisfying tr(X)/deg(X) < 1.899\; previously\, there were
  only 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 simpl
 e abelian varieties with extreme point counts.\n
LOCATION:https://researchseminars.org/talk/BC-MIT/7/
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