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SUMMARY:Soumya Sankar (Ohio State University)
DTSTART:20221115T210000Z
DTEND:20221115T220000Z
DTSTAMP:20260423T010458Z
UID:UAANTS/50
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UAANTS/50/">
 Counting elliptic curves with a rational N-isogeny</a>\nby Soumya Sankar (
 Ohio State University) as part of University of Arizona Algebra and Number
  Theory Seminar\n\n\nAbstract\nThe classical problem of counting elliptic 
 curves with a rational N-isogeny can be phrased in terms of counting ratio
 nal points on certain moduli stacks of elliptic curves. Counting points on
  stacks poses various challenges\, and I will discuss these along with a f
 ew ways to overcome them. I will also talk about height functions on certa
 in stacks\, focusing on the theory of heights on stacks developed in recen
 t work of Ellenberg\, Satriano and Zureick-Brown. I will then use their fr
 amework to count elliptic curves with an N-isogeny for certain N. The talk
  assumes no prior knowledge of stacks and is based on joint work with Bran
 don Boggess.\n
LOCATION:https://researchseminars.org/talk/UAANTS/50/
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