Nodal sets and negative eigenvalues in conformal geometry

We study zero and negative eigenvalues of the conformal Laplacian, and some conformal invariants that arise from nodal sets of the corresponding eigenfunctions. We discuss applications to certain curvature prescription problems.

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19 Jul 2022 | 10:30 - 11:30am
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Dmitry Jakobson, McGill University
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Po-Lam Yung

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Abstract: We study zero and negative eigenvalues of the conformal Laplacian, and some conformal invariants that arise from nodal sets of the corresponding eigenfunctions.  We discuss applications to certain curvature prescription problems. 

 

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