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TZID:Europe/Vienna
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DTSTART:20250330T030000
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TZOFFSETTO:+0200
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DTSTART:20251026T020000
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BEGIN:VEVENT
DTSTAMP:20260425T051658Z
UID:6825af035d67a869570403@ist.ac.at
DTSTART:20250612T130000
DTEND:20250612T150000
DESCRIPTION:Speaker: Carlo Pagano\nhosted by Tim Browning\nAbstract: I will
  explain two recent joint works with Peter Koymans\, where we introduced a
  new method to construct curves with positive but constrained rank over ge
 neral number fields. In the former (in 2024) we used this to settle Hilber
 t 10th problem for any finitely generated infinite ring. In the latter (in
  2025) we used these ideas to show that every number field has an elliptic
  curve of rank exactly equal to 1. I will explain the proofs\, present som
 e open questions\, and\, if time allows\, discuss some further application
  of the second result to the definability of arithmetic structures.
LOCATION:Raiffeisen Lecture Hall\, Central Building\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Carlo Pagano: 2-descent and additive combinatorics
URL:https://talks-calendar.ista.ac.at/events/5810
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