Analysis Seminar

Can you hear your location on a manifold?

Emmett Wyman, University of Rochester

Friday, April 14th, 2023
1:00 PM - 2:00 PM
Hylan 1106A

You close your eyes and are placed at some arbitrary location in a familiar room. Can you identify your location by clapping your hands once and listening to the resulting echoes and reverberations? In joint work with Yakun Xi, we give a precise formulation of this question on Riemannian manifolds, probe it with a variety of simple examples, and establish a positive answer for a generic class of metrics.

Event contact: dan dot geba at rochester dot edu