Beginning2018-10-29 16:00:00
Ending2018-10-29 17:00:00
Event titleNCTS & NTHU Math Colloquium-On concentration of eigenfunctions
SpeakerChristopher Sogge (Johns Hopkins University)
PlaceLecture Room B, 4th Floor, The 3rd General Building
DescriptionClick here to read
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NoteI shall present some results in global harmonic analysis that concern properties of eigenfunctions on compact Riemannian manifolds. Using local arguments we can show that $L^p$ norms of eigenfunctions over the entire manifold are saturated if and only if there are small balls (if $p$ is large) or small tubular neighborhoods of geodesics (if $p$ is small) on which the eigenfunctions have very large $L^p$ mass. Neither can occur on manifolds of nonpositive curvature, or, more generally, on manifolds without conjugate points.
Last Update Time2018-10-22 14:45:33
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