David Masser: Pencils of norm form equations and a conjecture of Thomas (NTWS 051)
Channel: Number Theory Web Seminar
Date: 2023-08-06

Abstract: We consider certain one-parameter families of norm form (and other) diophantine equations, and we solve them completely and uniformly for all sufficiently large positive integer values of the parameter (everything effective), following a line started by Emery Thomas in 1990. The new tool is a bounded height result from 2017 by Francesco Amoroso, Umberto Zannier and the speaker.

Link to slides: https://drive.google.com/file/d/1RxD8e_dgcOQDHY8WM1zf2g3OQGcHm-0V

Number Theory Web Seminar: https://www.ntwebseminar.org

Original air date: 
Thursday, November 12, 2020 (8am PST, 11am EST, 4pm GMT, 5pm CET, 6pm Israel Standard Time, 9:30pm IST)
Friday, November 13, 2020 (12am China Standard Time, 3am AEDT, 5am NZDT)