北大数論セミナー:Large values of eigenfunctions on hyperbolic manifolds(Simon Marshall氏)

Event Date: Oct 18, 2022

Time: 16:00-17:00


Speaker:Simon Marshall氏(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 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(p,q).

Organizer:跡部 発、安田 正大