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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 209: Number Theory Seminar
Simon Marshall
Wisconsin
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 $\mathrm{SO}(p,q)$.
[pre-talk at 1:20PM]
February 9, 2023
2:00 PM
APM 6402 and Zoom; see https://www.math.ucsd.edu/~nts
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