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UID:news1287@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20220131T135710
DTSTART;TZID=Europe/Zurich:20220203T170000
SUMMARY:Number Theory Web Seminar: Peter Humphries (University of Virginia)
DESCRIPTION:A major area of study in analysis involves the distribution of 
 mass of Laplacian eigenfunctions on a Riemannian manifold. A key result to
 wards this is explicit L^p-norm bounds for Laplacian eigenfunctions in ter
 ms of their Laplacian eigenvalue\, due to Sogge in 1988. Sogge's bounds ar
 e sharp on the sphere\, but need not be sharp on other manifolds. I will d
 iscuss some aspects of this problem for the modular surface\; in this sett
 ing\, the Laplacian eigenfunctions are automorphic forms\, and certain L^p
 -norms can be shown to be closely related to certain mixed moments of L-fu
 nctions. This is joint with with Rizwanur Khan.\\r\\nFor further informati
 on about the seminar\, please visit this webpage [https://www.ntwebseminar
 .org/].
X-ALT-DESC:<p>A major area of study in analysis involves the distribution o
 f mass of Laplacian eigenfunctions on a Riemannian manifold. A key result 
 towards this is explicit L^p-norm bounds for Laplacian eigenfunctions in t
 erms of their Laplacian eigenvalue\, due to Sogge in 1988. Sogge's bounds 
 are sharp on the sphere\, but need not be sharp on other manifolds. I will
  discuss some aspects of this problem for the modular surface\; in this se
 tting\, the Laplacian eigenfunctions are automorphic forms\, and certain L
 ^p-norms can be shown to be closely related to certain mixed moments of L-
 functions. This is joint with with Rizwanur Khan.</p>\n<p>For further info
 rmation about the seminar\, please visit this <a href="https://www.ntwebse
 minar.org/">webpage</a>.</p>
DTEND;TZID=Europe/Zurich:20220203T180000
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