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Shape Optimisation and Geometric Spectral Theory

6th September 2021   -   10th September 2021
Edinburgh, United Kingdom
https://www.claymath.org/events/shape-optimisation-and-geometric-spectral-theory
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Abstract

Spectral geometry, calculus of variations, and elliptic PDEs are a central part of modern analysis and geometric analysis. At the same time, these have important applications in other sciences, in particular mathematical physics. This workshop aims to bring together leading experts in these fields to discuss the main developments and open questions. The main research themes of the workshop include shape optimisation and sharp functional inequalities, Robin boundary value problems, Steklov eigenvalue problems, and properties of eigenfunctions and solutions to elliptic PDEs.