Mathematics
http://events.berkeley.edu/index.php/calendar/sn/math.html
Upcoming EventsAnalysis and PDE Seminar, May 20
http://events.berkeley.edu/index.php/calendar/sn/math.html?event_ID=125769&date=2019-05-20
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 Weyl laws; in each case obtaining quantitative improvements over the known bounds.http://events.berkeley.edu/index.php/calendar/sn/math.html?event_ID=125769&date=2019-05-20