# The length spectrum of the 2-sphere via integrable PDE

## Location

384H

Friday, February 18, 2022 2:00 PM

Otis Chodosh (Stanford)

Abstract: I will explain how the sine-Gordon equation (a completely integrable PDE) can be used to determine the values of the "length spectrum" on the 2-sphere (a non-linear version of the eigenvalues of the Laplacian). This is joint work with Christos Mantoulidis.