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SUMMARY:Marius Leonhardt (Boston University)
DTSTART:20260929T200000Z
DTEND:20260929T210000Z
DTSTAMP:20261004T233531Z
UID:FCNTS/38
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FCNTS/38/">D
 e Rham cohomology of modular curves via modular forms</a>\nby Marius Leonh
 ardt (Boston University) as part of Five College Number Theory Seminar\n\n
 Lecture held in Seeley Mudd 207 @Amherst College.\n\nAbstract\nComputing r
 ational points on nonsplit Cartan modular curves is a difficult open probl
 em. The most successful method — Quadratic Chabauty — can so far only 
 solve this problem for prime levels N = 13\,17\,19. In this talk I will re
 port on joint work in progress with Isabel Rendell\, in which we complete 
 the first step of Quadratic Chabauty\, namely the computation of a basis o
 f de Rham cohomology and of the Hodge filtration\, for levels N = 23\,29. 
 Crucially\, we avoid using a plane model of the curve\, but instead phrase
  everything in terms of modular forms.\n
LOCATION:https://researchseminars.org/talk/FCNTS/38/
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