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TZID:Europe/Vienna
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DTSTART:20250330T030000
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BEGIN:VEVENT
DTSTAMP:20260312T171459Z
UID:648ae47529632301455727@ist.ac.at
DTSTART:20250424T130000
DTEND:20250424T150000
DESCRIPTION:Speaker: Floris Vermeulen\nhosted by Tim Browning\nAbstract: Si
 nce the work of Bombieri-Pila\, the determinant method has formed a centra
 l tool for counting integral and rational points on algebraic varieties. U
 sing a p-adic adaptation\, Heath-Brown used this method to prove the first
  instances of the dimension growth conjecture\, which asserts very uniform
  upper bounds for counting rational points on projective varieties. Dimens
 ion growth was subsequently extended by Browning\, Heath-Brown\, and Salbe
 rger\, before being proved in full by Salberger.For many counting problems
  on rational points one can formulate geometric or motivic analogues\, by 
 studying the space of rational curves of fixed degree on a given complex v
 ariety. Such problems have received significant attention in recent years.
  We develop geometric analogues of dimension growth results using a geomet
 ric determinant method. This is based on joint work with Tijs Buggenhout a
 nd Yotam Hendel.
LOCATION:Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101
 )\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Floris Vermeulen: A geometric dimension growth conjecture
URL:https://talks-calendar.ista.ac.at/events/5713
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