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Harmonic Analysis and Automorphic Form Seminar - Simon Marshall

Ohio State Garden of Constants
October 21, 2024
4:00 pm - 5:00 pm
Math Tower (MW) 154

Simon Marshall
University of Wisconsin-Madison

Title
Large values of eigenfunctions on hyperbolic manifolds

Abstract
It is a folklore conjecture that the sup norm of a Laplace eigenfunction on a compact hyperbolic surface grows more slowly than any positive power of the eigenvalue.  In dimensions three and higher, this was shown to be false by Iwaniec-Sarnak and Donnelly.  I will present joint work with Farrell Brumley that strengthens these results, and extends them to locally symmetric spaces associated to SO(n, m).  The proof relies on a distinction principle for automorphic periods, involving the theta lift to Sp_{2m}.

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Seminar - Harmonic Analysis and Automorphic Form