Counting elliptic curves with a rational N-isogeny

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February 22, 2021
4:15PM - 5:15PM
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Add to Calendar 2021-02-22 16:15:00 2021-02-22 17:15:00 Counting elliptic curves with a rational N-isogeny 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/ email organizers for Zoom link Department of Mathematics math@osu.edu America/New_York public
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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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