The Chabauty—Coleman method

Time：Thur., 12:00-13:00, Oct. 10, 2024

Venue：BIMSA A4-1

Organizer：Yong Suk Moon, Koji Shimizu

Speaker：Koji Shimizu

BIMSA-YMSC Number Theory Lunch Seminar

This is an in-person seminar at BIMSA over lunch, aimed to promote communications in the Number Theory teams at BIMSA and YMSC. Each talk is 45 minutes long and does not focus on research results. Instead, we encourage each speaker to discuss either (1) a basic notion in Number Theory or related fields or (2) applications or computational aspects of Number Theory. People interested in Number Theory are welcome to attend.

Organizers：

Yong Suk Moon, Koji Shimizu

Speaker：

Koji Shimizu

Time：

Thur., 12:00-13:00, Oct. 10, 2024

Venue：

BIMSA A4-1

Title：

The Chabauty—Coleman method

Abstract:

The Chabauty—Coleman method is a p-adic method to determine the rational points on a higher-genus curve. I will apply this technique to prove a theorem of Hirakawa and Matsumura on rational triangles.

DATEOctober 9, 2024

Related News

0
Homotopy of manifolds through a cubic method
AbstractIn several occasions, I have talked about some recent progresses on the unstable homotopy of manifolds made by Stephen Theriault and myself. But no details of the proof were presented. In this homotopy seminar talk, I would like to focus on one work in this project, that is, the loop homotopy decomposition of manifolds stabilized by projective spaces. We may work out some proofs togethe...
1
The vector-field method and decay for the wave equation
In this seminar, we will study wave equations particularly nonlinear wave equations, from a geometric perspective, and inspired by the dynamics in general relativity. Among the topics of interest are black holes, stability, long-term dynamics, low-regularity, fluids, and shocks. We will have a combination of external and local speakers, including students. This is coorganised by Pieter Blue, Ma...