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SUMMARY:Isabel Rendell (King's College London)
DTSTART:20250929T200000Z
DTEND:20250929T210000Z
DTSTAMP:20260423T035957Z
UID:NTBU/29
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NTBU/29/">Qu
 adratic Chabauty for Atkin-Lehner quotients of modular curves via weakly h
 olomorphic modular forms</a>\nby Isabel Rendell (King's College London) as
  part of Boston University Number Theory Seminar\n\nLecture held in CDS Ro
 om 548 in Boston University.\n\nAbstract\nQuadratic Chabauty is a method t
 o explicitly compute the rational points on certain modular curves of genu
 s at least 2. The current algorithm\, due to Balakrishnan-Dogra-Müller-Tu
 itman-Vonk\, requires as an input an explicit plane model of the curve. Th
 e coefficients of such models grow rapidly with the genus of the curve and
  so are inefficient to compute with when the genus is at least 7. Therefor
 e\, we would like to replace this input with certain modular forms associa
 ted to the curve\, hence creating a 'model-free' algorithm. In this talk I
  will provide an overview of an algorithm to compute the first stage of qu
 adratic Chabauty on Atkin-Lehner quotients of modular curves using weakly 
 holomorphic modular forms.\n
LOCATION:https://researchseminars.org/talk/NTBU/29/
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