Colloquium on "Concentration and Growth of Laplace Eigenfunctions" by Jeffrey Galkowski (Northeastern University)
Jeffrey Galkowski (Northeastern University)
Thursday, April 4, 2019 -
3:30pm to 4:30pm
Title: Concentration and Growth of Laplace Eigenfunctions
Abstract: In this talk we will discuss a new approach to understanding eigenfunction concentration. We characterize the features that cause an eigenfunction to saturate the standard supremum bounds in terms of the distribution of L^2 mass along geodesic tubes emanating from a point. We also show that the phenomena behind extreme supremum norm growth is identical to that underlying extreme growth of eigenfunctions when averaged along submanifolds. Finally, we use these ideas to understand a variety of measures of concentration; in each case obtaining quantitative improvements over the known bounds.
Contact Name: Matthew Blair
Contact Email: firstname.lastname@example.org