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DTSTAMP;TZID=America/Vancouver:20221208T113000
DTSTART;TZID=America/Vancouver:20221208T113000
DTEND;TZID=America/Vancouver:20221208T121500

UID:20221208T113000@prima2022.primamath.org
SUMMARY:Restriction of Laplace-Beltrami eigenfunctions on subsets of manifolds 
DESCRIPTION:The study of eigenfunctions of Laplacians lies at the interface of several areas of 
mathematics, including analysis, geometry, mathematical physics and number theory. These special
functions arise in physics and in partial differential equations as modes of periodic vibration
of drums and membranes. 

A fundamental question surrounding Laplace-Beltrami eigenfunctions targets their
concentration phenomena, via high-energy asymptotics or high-frequency behaviour. One popular approach to this question involves studying the growth of the $L^p$ norms of these 
eigenfunctions on the ambient manifold, or on submanifolds thereof. What can one say about
the behaviour of eigenfunctions on rougher sets? We will discuss answers to this question, based on joint work with Suresh Eswarathasan.
STATUS:CONFIRMED
LOCATION:Parksville
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