Speaker: Siimon Marshall Affiliation: University of Wisconsin Time: 3:00 pm Wednesday, 18 August, 2021 Location: ClockT018/105-018 |
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. |