Analysis and PDE Seminar: Concentration of eigenfunctions: Averages and Sup-norms

Seminar | January 15 | 4-5 p.m. | 740 Evans Hall

 Jeffrey Galkowski, Stanford University

 Department of Mathematics

In this talk, we relate microlocal concentration of eigenfunctions to sup-norms and sub-manifold averages. In particular, we characterize the microlocal concentration of eigenfunctions with maximal sup-norm and average growth. We then exploit this characterization to derive geometric conditions under which maximal growth cannot occur. This talk is based on joint works with Yaiza Canzani and John Toth.