Quantitative local to global principles

Date: Tuesday 11 October 2022

Abstract

This talk surveys techniques and applications related to the following problem: Given an algebraic set in nonzero characteristic, when can we lift to zero characteristic and preserve the algebraic structure?  A notion of size/height is important for determining when this problem has a positive solution. Techniques for investigating the extent to which we can perform this kind of lifting have previously been applied to problems in additive combinatorics, distribution of primes, Rudin's conjecture and computer science.