Date: Tuesday, October 26, 2021
Location: 1360 East Hall (4:00 PM to 5:00 PM)
Title: Rainich Lecture #1: 3987^{12} + 4365^{12} = 4472^{12} (almost)
Abstract: Not quite! How do we produce such fake solutions? I will review work of several authors (Coppersmith, Elkies, BombieriPila, HeathBrown) about this, and the related question of bounding the number of integral solutions to a polynomial equation P(x1, ..., xn) = 0. I will then explain a recent result with Lawrence and Ellenberg (https://arxiv.org/abs/2109.01043) showing that integral points are "rare" on many natural moduli spaces.
Files:
Speaker: Akshay Venkatesh
Institution: Institute for Advanced Study
Event Organizer:
