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Nodal geometry of Laplace eigenfunctions

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Speaker: 
Mayukh Mukherjee
Affiliation: 
Technion, Haifa/MPIM
Date: 
Thu, 2018-04-19 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

Let $M$ be a compact Riemannian manifold and $\varphi_\lambda$ be an eigenfunction of the Laplacian corresponding to the eigenvalue $\lambda$. We will survey a few recent results in the area regarding the geometry of nodal sets and nodal domains of $\varphi_\lambda$. We will also mention joint work with Bogdan Georgiev and Stefan Steinerberger.

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