Student Harmonic Analysis and PDE Seminar (HADES): Real polynomials and the Fourier extension operator

Seminar | April 2 | 3:40-5 p.m. | 740 Evans Hall

 Ruixiang Zhang, University of Wisconsin-Madison

 Department of Mathematics

The Fourier extension operator is a very interesting and difficult object to study in harmonic analysis. Stein conjectured that it is a bounded linear operator between some $L^p$ spaces. Recently people have found that auxiliary real polynomials can help one study Stein's above Restriction Conjecture. We will talk about a few interesting facts about zero sets of real polynomials, and why they can be useful in the study of the Restriction Conjecture.