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Plenary
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Abstract: I shall present various
estimates for eigenfunctions of the Laplacian in manifolds with and without boundary. A common theme is to try to see how the underlying geometry, as measured by the long-term properties of the geodesic flow, does or does not lead to blowup of
norms. In the case where
we shall also discuss blowup and non-blowup results for quasimodes.