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SUMMARY:Aspects of quadratic Chabauty via modular forms [MPIM]
DTSTART:20261118T140000Z
DTEND:20261118T143000Z
DTSTAMP:20261112T154000Z
UID:indico-event-1784@math-events.uni-bonn.de
DESCRIPTION:Speakers: Isabell Rendell (MPIM)\n\nNumber theory lunch semina
 r\nQuadratic Chabauty is one of the most successful recent methods in comp
 uting rational points on modular curves. The current algorithm requires an
  explicit plane model of the curve\, which becomes inefficient to compute 
 with when the genus is sufficiently large. In joint work with Marius Leonh
 ardt\, we compute the first steps of quadratic Chabauty - a basis of de Rh
 am cohomology and certain Hodge filtration - without requiring any plane m
 odels. We have implemented our method on the non-split Cartan modular curv
 es with levels N=25\, 29\, which have genus 14 and 24 respectively\, whose
  rational points are not currently known.\n\nhttps://math-events.uni-bonn.
 de/event/1784/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1784/
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