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\textsc{Analysis and Differential Geometry}
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\textsc{Seminar}
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\textit{Three Singular Perturbations of the Laplacian with Applications to Spectral Multiplicity}
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Christopher Judge\par
Indiana University
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\textbf{Abstract:} We consider the following perturbations of a domain:
bending a segment on the boundary; introducing a small slit in the
interior; and stretching the domain along an axis. We consider
analyticity and convergence of the associated Neumann/Dirichlet
eigenvalue problems. As an application we show that almost every
n-gon has simple Laplace spectrum. (Joint work with Luc Hillairet.)\vspace{\fill}
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Tuesday, December 11, 2007, 4:00 pm\par
Mathematics and Science Center: W301
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\textsc{Mathematics and Computer Science}\par
\textsc{Emory University}
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