Title: Quasipolynomial bounds on the inverse theorem for the Gowers norms and applications
Abstract: Recent work, joint with James Leng and Mehtaab Sawhney, improves the so-called “inverse theorem” for the Gowers $U^{s+1}[N]$-norm which arises in the field of additive combinatorics in relation to Roth’s and Szemerédi’s theorems. I will explain how the field of higher-order Fourier analysis broadly extends Fourier methods and the circle method in number theory, and discuss implications of bounds for inverse theorems.
Link to slides: drive.google.c...
Number Theory Web Seminar: www.ntwebsemin...
Original air date:
Thursday, May 2, 2024 (8am PDT, 11am EDT, 4pm BST, 5pm CEST, 6pm Israel Daylight Time, 8:30pm Indian Standard Time, 11pm CST)
Friday, May 3, 2024 (1am AEST, 3am NZST)