Affine restriction estimates for surfaces in R^3 via decoupling
Mr Jianhui LI
Date & Time
17 Jan 2023 (Tue) | 05:00 PM - 05:50 PM
Venue
Y5-205 Yeung Kin Man Academic Building
ABSTRACT
We will discuss some L^2 restriction estimates for smooth compact surfaces in R^3 with affine surface measure and certain powers thereof. The primary tool is a decoupling theorem for these surfaces. The results are also uniform for polynomial surfaces of bounded degrees and coefficients. Some of the results we will discuss are joint with Tongou Yang.