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SUMMARY:A volcanic approach to torsion of CM elliptic curves [MPIM]
DTSTART:20250731T130000Z
DTEND:20250731T140000Z
DTSTAMP:20260416T083400Z
UID:indico-event-574@math-events.uni-bonn.de
DESCRIPTION:Speakers: Freddy Saia (University of Illinois at Chicago)\n\nM
 PI-Oberseminar\nA celebrated theorem of Merel states that for any fixed de
 gree $d$\, there are only finitely many groups which can arise as the tors
 ion subgroup of an elliptic curve over a number field of degree $d$. Merel
 's theorem followed Mazur's classification of torsion subgroups which aris
 e over the rational numbers ($d=1$)\, and has been proceeded by classifica
 tions in degrees $d=2$ and $d=3$ (with a result in degree $d=4$ recently a
 nnounced). I will discuss joint work with Pete Clark which allows for a co
 mplete classification in any specified degree $d$ if one restricts to tors
 ion subgroups of elliptic curves with complex multiplication\, coming from
  a study of isogeny volcanoes over $\\overline{\\mathbb{Q}}$.\n\nhttps://m
 ath-events.uni-bonn.de/event/574/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/574/
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