Quadratic Chabauty: geometric and explicit

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Number Theory Seminar
November 28, 2022
4:00PM - 5:00PM
Location
CH 218

Date Range
Add to Calendar 2022-11-28 16:00:00 2022-11-28 17:00:00 Quadratic Chabauty: geometric and explicit Title:  Quadratic Chabauty: geometric and explicit Speaker:  Juanita Duque Roser (Dartmouth) Speaker's URL:  https://math.dartmouth.edu/~jduque/ Abstract:  Geometric quadratic Chabauty is a method, pioneered by Edixhoven and Lido ['21], whose goal is to determine the rational points on a nice curve X. The main tools that this method uses are p-adic analysis and Gm-torsors over the Jacobian of X. In this talk, I will give an overview of the method, focusing on explicit computations. I will also present a comparison theorem to the (original) method for quadratic Chabauty. Finally, we will look at a specific example of a modular curve where the method of geometric quadratic Chabauty can be used. This is joint work with Sachi Hashimoto and Pim Spelier. URL associated with Seminar:  https://research.math.osu.edu/numbertheory/ CH 218 Department of Mathematics math@osu.edu America/New_York public
Description

Title:  Quadratic Chabauty: geometric and explicit

Speaker:  Juanita Duque Roser (Dartmouth)

Speaker's URL:  https://math.dartmouth.edu/~jduque/

Abstract:  Geometric quadratic Chabauty is a method, pioneered by Edixhoven and Lido ['21], whose goal is to determine the rational points on a nice curve X. The main tools that this method uses are p-adic analysis and Gm-torsors over the Jacobian of X. In this talk, I will give an overview of the method, focusing on explicit computations. I will also present a comparison theorem to the (original) method for quadratic Chabauty. Finally, we will look at a specific example of a modular curve where the method of geometric quadratic Chabauty can be used. This is joint work with Sachi Hashimoto and Pim Spelier.

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

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