Concentration of Eigenfunctions: Sup-norms and Averages

Printer-friendly version
Speaker: 
Jeffrey Galkowski
Institution: 
Stanford University
Time: 
Thu, 05/17/2018 - 2:00pm
Host: 
Katya Krupchyk
Location: 
RH 340P

In this talk we relate concentration of Laplace eigenfunctions in position and momentum to sup-norms and submanifold averages. In particular, we present a unified picture for sup-norms and submanifold averages which characterizes the concentration of those eigenfunctions with maximal growth. We then exploit this characterization to derive geometric conditions under which maximal growth cannot occur.