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SUMMARY:Garen Chiloyan (University of Connecticut)
DTSTART:20200824T133000Z
DTEND:20200824T140000Z
DTSTAMP:20260423T035936Z
UID:POINT/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/POINT/6/">A 
 Classification of Isogeny-Torsion Graphs of Elliptic Curves Defined over t
 he Rationals</a>\nby Garen Chiloyan (University of Connecticut) as part of
  POINT: New Developments in Number Theory\n\n\nAbstract\nAn isogeny graph 
 is a nice visualization of the isogeny class of an elliptic curve. A theor
 em of Kenku shows sharp bounds on the number of distinct isogenies that a 
 rational elliptic curve can have (in particular\, every isogeny graph has 
 at most 8 vertices). In this talk\, we give a complete classification of t
 he torsion subgroups over $\\mathbb{Q}$ that can occur in each vertex of a
  given isogeny graph of elliptic curves defined over the rationals. This i
 s joint work with \\'Alvaro Lozano-Robledo.\n\nPlease register for the tal
 ks on August 24 here: \nhttps://virginia.zoom.us/meeting/register/tJMkc-uo
 rT8iHdOXRaBkci8wHoKUkqiXaq-E\n
LOCATION:https://researchseminars.org/talk/POINT/6/
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