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Department of Mathematics,
University of California San Diego


Math 209: Number Theory Seminar

Simon Marshall


Large values of eigenfunctions on hyperbolic manifolds



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