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.

Intro
First example
Distribution
lattice structure
parabolic
critical exponent
possible explanation
Conjunction
Sharpness
Hardy Littlelemma
Hard conjecture
Hard conjecture 3
Summary
Results
Square root cancellation
corollary
scale independent results