Thursday, 20th May 2010, 4:00 pm

Mathematics Building, Lecture Hall 2

Dan Mangoubi

(Hebrew University)

"The Geometry of Zeroes of Harmonic functions and Eigenfunctions"

** Abstract: **

Let *(M,g)* be a compact closed Riemannian manifold. Let
*f_k* be a sequence of eigenfunctions of the Laplace-Beltrami
operator on *M* with increasing eigenvalues *\lambda_k*.
When one looks at the set *{f_k=0}* as *k* goes to
infinity, one discovers beautiful patterns, the study of which was
already initiated by Chladni in the 17th century. In the last 100
years and in particular in the last 25 years there have been several
interesting results in the subject. In particular, the connection
to properties of harmonic functions in Euclidean space was
understood. We will describe those achievements and also a few
quite challenging open questions.

Light refreshments will be served in the faculty lounge at 3:30.

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