Caltech Logo

Mathematics Colloquium

Tuesday, December 1, 2020
12:00pm to 1:00pm
Add to Cal
Online Event
Restriction theory in Fourier analysis
Hong Wang, School of Mathematics, Institute for Advanced Study,

If a function has Fourier transform supported on a sphere, what can we say about this function?

Given a collection of long thin tubes pointing in different directions, how much do they overlap?

These two questions are closely related. In this talk, we will discuss how understanding the second question leads to progress on the first one. More precisely, we will discuss Stein's restriction conjecture and Sogge's local smoothing conjecture for the wave equation.

For more information, please contact Math Department by phone at 626-395-4335 or by email at mathinfo@caltech.edu.