BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Tangli Ge (Princeton University) DTSTART:20240507T203000Z DTEND:20240507T213000Z DTSTAMP:20260423T130130Z UID:MITNT/94 DESCRIPTION:Title: S ome height conjectures on abelian schemes\nby Tangli Ge (Princeton Uni versity) as part of MIT number theory seminar\n\nLecture held in Room 2-44 9 in the Simons Building (building 2).\n\nAbstract\nMotivated by the conje ctures of S. Zhang and Zilber–Pink\, I would like to formulate three con jectures about height functions on abelian schemes. These conjectures will represent intersections of respectively unlikely\, just likely and very l ikely kinds. The first one is a Bogomolov type conjecture. The second one is about boundedness of height. The third one is related to uniformity of the height bound. Some known results will be mentioned during the talk. I will then discuss an interesting implication: a specialization theorem for the Mordell–Weil group of an elliptic surface of Silverman.\n LOCATION:https://researchseminars.org/talk/MITNT/94/ END:VEVENT END:VCALENDAR