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Lp norms via geodesic beams

Recent developments in microlocal analysis October 14, 2019 - October 18, 2019

October 15, 2019 (03:30 PM PDT - 04:30 PM PDT)
Speaker(s): Jeffrey Galkowski (University College)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video
Abstract

In this talk, we discuss the geodesic beam approach to eigenfunction concentration and give applications to the study of the norms of eigenfunctions for p larger than the critical exponent. In particular, we will give quantitative improvements to these estimates which rely only on dynamical assumptions and describe the concentration behavior of saturating examples.

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