BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:An Explicit Uniform Bound for Rational Points on Curves
DTSTART:20251211T093000Z
DTEND:20251211T103000Z
DTSTAMP:20260505T203400Z
UID:indico-event-14660@indico.math.cnrs.fr
DESCRIPTION:Speakers: Shengxuan Zhou (IMT)\n\nThe celebrated Mordell conje
 cture\, proved by Faltings\, asserts that a curve of genus greater than on
 e over a number field has only finitely many rational points. A deep unifo
 rm upper bound on the number of rational points follows from Vojta's inequ
 ality and the recent works of Dimitrov-Gao-Habegger and Kühne. In this ta
 lk\, I will introduce an explicit version of this uniform bound. Our appro
 ach relies on analyzing Arakelov Kähler forms via localization of Bergman
  kernels. This is joint work with Jiawei Yu and Xinyi Yuan.\n\nhttps://ind
 ico.math.cnrs.fr/event/14660/
URL:https://indico.math.cnrs.fr/event/14660/
END:VEVENT
END:VCALENDAR