Title : Large values of eigenfunctions on hyperbolic manifolds
Speaker: Siimon Marshall
Affiliation: University of Wisconsin
Time: 3:00 pm Wednesday, 18 August, 2021
Location: ClockT018/105-018
Abstract
Laplace eigenfunctions are fundamental objects in harmonic analysis and mathematical physics. While these eigenfunctions can be explicitly written down on nice manifolds such as the sphere and torus, on a general manifold (particularly one of negative curvature) they are rather mysterious. In this talk, I will discuss the problem of understanding how large the peaks of eigenfunctions on hyperbolic manifolds can be, focusing on lower bounds. This is based on joint work with Farrell Brumley at Universite Sorbonne Paris Nord.

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