Some Recent Developments in Harmonic Analysis

Date: 
Monday, 10 July, 2023 - 10:30 - 11:30
Venue: 
LSB 222
Seminar Type: 
Colloquium
Speaker Name: 
Prof. Po Lam YUNG
Affiliation: 
Australian National University and The Chinese University of Hong Kong
Abstract: 

I'll explain some work with my collaborators on Sobolev spaces and on Fourier decoupling. It will feature some new ways with which we can compute the Lp norm of the derivative of a function, and some estimates that capture destructive interference between waves that propagate in different directions. Applications will be given in numerical approximations, PDEs, and analytic number theory. Efforts will be made to make this talk accessible to a wide audience.

Joint work with Haim Brezis, Oscar Dominguez, Qingsong Gu, Shaoming Guo, Zane Kun Li, Andreas Seeger, Brian Street, Jean Van Schaftingen, and Pavel Zorin-Kranich.