Friday, May 8, 2020 10:00 AM
Stefano Decio (NTNU)

An interesting problem about eigenfunctions of the Laplace operator is to understand their concentration properties. In the setting of flat tori, Bourgain and Rudnick in a series of papers established uniform bounds for restriction of eigenfunctions to hypersurfaces, as well as several other beautiful results. I will present a selection of these in the two-dimensional case, where some magic happens and many technical difficulties disappear.