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Counting elliptic curves with a rational N-isogeny

The Golden Hourglass by Craig Schaffer
February 22, 2021
4:15 pm - 5:15 pm
email organizers for Zoom link

Title:  Counting elliptic curves with a rational N-isogeny

Speaker:  Soumya Sankar (OSU)

Speaker's URL:  https://sites.google.com/site/soumya3sankar/

Abstract:  The classical problem of counting elliptic curves with a rational N-isogeny can be phrased in terms of counting rational points on certain moduli stacks of elliptic curves. Counting points on stacks poses various challenges, and I will discuss these along with a few ways to overcome them. I will also talk about the theory of heights on stacks developed in recent work of Ellenberg, Satriano and Zureick-Brown and use it 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 Brandon Boggess.

URL associated with Seminar
https://research.math.osu.edu/numbertheory/

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