We meet in **Grainger Library**, *room 335*. The last IMSE seminar of the year will have

*Naira Hovakimyan*, MechSE, talking on Planning with monsieur Bezier

*Richard Laugesen*, Math, who, sticking with the French, speaks about

The Laplacian: conjectured spectral bounds

Eigenvalues of the Laplacian have intrigued physicists and mathematicians for hundreds of years. They represent physical quantities such as frequencies of drums and energy levels of quantum particles, while encoding geometric information such as area and perimeter.

I will discuss recent numerical work (not by me) that hints at a possible isoperimetric type inequality for high energies.

(This talk is accessible to anyone who has heard of the trigonometric eigenfunctions of the rectangle or the Bessel eigenfunctions of the disk.)

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