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Shape optimisation under width type constraint

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GSTW05 - Emerging Horizons in Geometric Spectral Theory: an ECRs workshop

Among the various width-type constraints considered in shape optimization, the most classical is the maximal width (or diameter), which describes how “large” an admissible set can be. Less commonly studied  but equally significant  is the minimal width, which instead measures the “thickness” of admissible shapes.In this seminar, I will present some recent results on the optimisation, also in quantitative form, of geometric and spectral-type functionals under diameter or thickness constraint. The talk is based on joint works with Ilias Ftouhi (Nimes, France), Antoine Henrot (Nancy, France), Giorgio Saracco (Ferrara, Italy), and Davide Zucco (Turin, Italy).

This talk is part of the Isaac Newton Institute Seminar Series series.

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Seminar Room, Henry Wellcome Building & on Zoom -https://zoom.us/meeting/register/tJEkcuCtrTwoG9I1M856dIPOpwYUO3q4WdIv University Centre, Hicks Room Electhical

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