Ciprian Demeter - Restriction of Exponential Sums to Hypersurfaces

Explore a 59-minute lecture on moment inequalities for exponential sums with respect to singular measures, focusing on curved hypersurfaces. Delve into the work of Ciprian Demeter and Bartosz Langowski as they present sharp estimates relative to the scale parameter N, with only Nϵ losses. Examine key concepts such as distribution lattice structure, parabolic critical exponents, and Hardy-Littlewood lemmas. Investigate square root cancellation, corollaries, and scale-independent results while gaining insights into hard conjectures and their potential explanations.