[AN] Jan Rozendaal: Local Smoothing and Decoupling

23 April 2024 16:00 till 17:00 - Location: Lecture Hall Chip | Add to my calendar

The local smoothing conjecture for the wave equation is one of the biggest open
problems in harmonic analysis, with connections to other major problems in har-
monic analysis and geometric analysis. Research on this conjecture has also led to
advances in areas such as number theory, through the development of the theory
of Fourier decoupling.
In this talk, I will explain the local smoothing conjecture and its connection to
Fourier decoupling. Then I will discuss a recently developed framework of function
spaces for local smoothing and decoupling.