BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Laura Capuano (Politecnico di Torino)
DTSTART:20210421T150000Z
DTEND:20210421T160000Z
DTSTAMP:20260423T024616Z
UID:hnts/29
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/hnts/29/">GC
 D results for certain divisibility sequences of polynomials and a conjectu
 re of Silverman</a>\nby Laura Capuano (Politecnico di Torino) as part of H
 eilbronn number theory seminar\n\n\nAbstract\nA divisibility sequence is a
  sequence of integers $d_n$ such that\, if $m$ divides $n$\, then $d_m$ di
 vides $d_n$. Bugeaud\, Corvaja\, Zannier showed that pairs of divisibility
  sequences of the form $a^n-1$ have only limited common factors. From a ge
 ometric point of view\, this divisibility sequence corresponds to a subgro
 up of the multiplicative group\, and Silverman conjectured that a similar 
 behaviour should appear in (a large class of) other algebraic groups.\n\nE
 xtending previous works of Silverman and of Ghioca-Hsia-Tucker on elliptic
  curves over function fields\, we will show how to prove the analogue of S
 ilverman’s conjecture over function fields in the case of split semiabel
 ian varieties and some generalizations. The proof relies on some results o
 f unlikely intersections. This is a joint work with F. Barroero and A. Tur
 chet.\n
LOCATION:https://researchseminars.org/talk/hnts/29/
END:VEVENT
END:VCALENDAR