Affine Restriction Estimates for Surfaces in R^3 via Decoupling

Date: 
Friday, 13 January, 2023 - 15:00 - 16:30
Venue: 
LSB 222
Seminar Type: 
Seminar
Speaker Name: 
Mr. LI Jianhui
Affiliation: 
University of Wisconsin-Madison
Abstract: 

We will discuss some L2 restriction estimates for smooth compact surfaces in ℝ3 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.