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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: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.

\nFor further info
rmation about the seminar\, please visit this webpage.

DTEND;TZID=Europe/Zurich:20220203T180000
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