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UID:20260407T050736EDT-5893RCUU4S@132.216.98.100
DTSTAMP:20260407T090736Z
DESCRIPTION:Title: Restriction of eigenfunctions to sparse sets on manifold
 s\n\nAbstract: Given a compact Riemannian manifold $(M\, g)$ without bound
 ary\, we consider the restriction of Laplace-Beltrami eigenfunctions to ce
 rtain subsets $\Gamma$ of the manifold. How do the Lebesgue $L^p$ norms of
  these restricted eigenfunctions grow? Burq\, Gerard\, Szvetkov and indepe
 ndently Hu studied this question when $\Gamma$ is a submanifold. In ongoin
 g joint work with Suresh Eswarathasan\, we extend earlier results to the s
 etting where $\Gamma$ is an arbitrary Borel subset of $M$. Here differenti
 al geometric methods no longer apply. Using methods from geometric measure
  theory\, we obtain sharp growth estimates for the restricted eigenfunctio
 ns that rely only on the size of $\Gamma$. Our results are sharp for large
  $p$\, and are realized for large families of sets $\Gamma$ that are rando
 m and Cantor-like.\n\n \n\nFor Zoom meeting information please contact dmi
 try.jakobson [at] mcgill.ca\n
DTSTART:20200828T160000Z
DTEND:20200828T170000Z
SUMMARY:Malabika Pramanik (UBC)
URL:https://www.mcgill.ca/mathstat/channels/event/malabika-pramanik-ubc-323
 865
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