HUJI NT Seminar - Brian Lawrence (Wisconsin)

Date: 
Mon, 19/06/202314:30-16:00
Location: 
Ross 70 and Zoom
Zoom link
https://huji.zoom.us/j/84721203396?pwd=dWkyVTk0WDhlWlBOdVgxR04rKzM1UT09

Meeting ID: 847 2120 3396
Passcode: 189975

Link to recordings:

https://huji.cloud.panopto.eu/Panopto/Pages/Sessions/List.aspx?folderID=39fd71c4-753c-4a1a-a955-aeb500acd432

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Title: Conditional algorithmic Mordell

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 Wüstholz.  (Work in progress with Levent Alpoge.)