EVENT DETAILS AND ABSTRACT


Number Theory

Title: Conditional algorithmic Mordell
Speaker: Brian Lawrence
Speaker Info: University of Wisconsin, Madison
Brief Description:
Special Note:
Abstract:

Conditionally on the Fontaine-Mazur, Hodge, and Tate conjectures, there is an algorithm that finds all rational points on any curve of genus at least 2 over a number field. The algorithm uses Faltings's original proof of the finiteness of rational points, along with an analytic bound on the degree of an isogeny due to Masser and W├╝stholz. (Work in progress with Levent Alpoge.)
Date: Friday, February 09, 2024
Time: 3:00PM
Where: Lunt 107
Contact Person: Ananth Shankar
Contact email: ananth.shnkr@gmail.com
Contact Phone:
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