Session S33 - Spectral Geometry

Tuesday, July 13, 12:30 ~ 12:50 UTC-3

Mutually isospectral Riemannian manifolds

Benjamin Linowitz

Oberlin College, United States of America   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

An old problem asks, given a natural number $g$, for the maximum number of Riemann surfaces $S_1,...,S_k$ of genus $g$ such that $S_1,...,S_k$ all have the same spectrum of the Laplacian. In this talk we'll report on recent progress on this problem and its natural generalization to locally symmetric spaces.

Joint work with Mikhail Belolipetsky (IMPA, Brazil).

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