printable pdf
比利时vs摩洛哥足彩 ,
university of california san diego

****************************

math 248 - analysis seminar

jeffrey galkowski

northeastern univ.

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 including high $l^p$ norms and weyl laws; in each case obtaining quantitative improvements over the known bounds.

host: jacob sterbenz

january 31, 2019

10:00 am

ap&m 7321

****************************