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SUMMARY:Mar Curcó Iranzo (Utrecht University)
DTSTART:20220419T183000Z
DTEND:20220419T190000Z
DTSTAMP:20260423T021228Z
UID:POINT/47
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/POINT/47/">R
 ational Torsion of Generalised Modular Jacobians</a>\nby Mar Curcó Iranzo
  (Utrecht University) as part of POINT: New Developments in Number Theory\
 n\n\nAbstract\nWe consider the generalized Jacobian $J_0(N)_m$ of the modu
 lar curve $X_0(N)$ of level $N$\, with respect to the modulus $m$ consisti
 ng of all cusps on the modular curve. When $N=p^(r)q^(s)$\, for $p$ and $q
 $ odd prime numbers\, we determine the group structure of the rational tor
 sion of the Jacobian $J_0(N)_m$ up to 2-primary\, $p$-primary and $q$-prim
 ary torsion. Our results extend known results for squarefree levels and fo
 r prime power levels. Our proofs use their techniques\, as well as results
  concerning the study of the rational points on the modular Jacobian and o
 f the rational divisor class group of $X_0(N)$.\n\nRegister here: https://
 umanitoba.zoom.us/meeting/register/u5csf-CtqzstEtfTaoLl6L8gnaVIJnGVB49w\n
LOCATION:https://researchseminars.org/talk/POINT/47/
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