Tue, March 29, 2022
1:40 pm - 2:45 pm
066 University Hall or by Zoom
Title: Higher-order stability arithmetic regularity
Speaker: Caroline Terry (The Ohio State University)
Speaker's URL: https://u.osu.edu/terry.376/
Abstract: We precent recent work, joint with J. Wolf, in which we define a natural notion of higher-order stability and show that subsets of $\mathbb{F}_p^n$ that are tame in this sense can be approximately described by a union of low-complexity quadratic subvarieties, up to linear error. This extends joint work with Wolf on arithmetic regularity lemmas for stable subsets of $\mathbb{F}_p^n$ to the realm of higher order Fourier analysis.
Zoom: https://osu.zoom.us/j/97310494995?pwd=OFhEb1RCT2xmbU1VYWJzUFhYUERvdz09