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SUMMARY:Counting rational points on varieties with large fundamental group
  [MPIM]
DTSTART:20250116T093000Z
DTEND:20250116T110000Z
DTSTAMP:20260420T150600Z
UID:indico-event-190@math-events.uni-bonn.de
DESCRIPTION:Speakers: Marco Maculan (Paris)\n\nSeminar Algebraic Geometry 
 (SAG)\nA nonsingular projective curve of genus at least 2 on a number fiel
 d admits only finitely many rational points. Elliptic curves might have in
 finitely many rational points (as the projective line does)\, but “way l
 ess” than the projective line. In a joint work with Y. Brunebarbe\, insp
 ired by a recent result of Ellenberg-Lawrence-Venkatesh\, we prove an anal
 ogous statement in higher dimension: projective varieties with large funda
 mental group in the sense of Kollár have “way less” rational points t
 han Fano varieties.\n\nhttps://math-events.uni-bonn.de/event/190/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/190/
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