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SUMMARY:Fabien Pazuki (Copenhagen)
DTSTART:20200521T170000Z
DTEND:20200521T180000Z
DTSTAMP:20260422T053428Z
UID:SFUQNTAG/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SFUQNTAG/3/"
 >Regulators of number fields and abelian varieties</a>\nby Fabien Pazuki (
 Copenhagen) as part of SFU NT-AG seminar\n\n\nAbstract\nIn the general stu
 dy of regulators\, we present three inequalities. We first bound from belo
 w the regulators of number fields\, following previous works of Silverman 
 and Friedman. We then bound from below the regulators of Mordell-Weil grou
 ps of abelian varieties defined over a number field\, assuming a conjectur
 e of Lang and Silverman. Finally we explain how to prove an unconditional 
 statement for elliptic curves of rank at least 4. This third inequality is
  joint work with Pascal Autissier and Marc Hindry. We give some corollarie
 s about the Northcott property and about a counting problem for rational p
 oints on elliptic curves.\n
LOCATION:https://researchseminars.org/talk/SFUQNTAG/3/
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