Eigenfunction concentration and its connection to geometry

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Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Tacy, Melissa

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Title

Eigenfunction concentration and its connection to geometry

Title of Series

Probing the Earth and the Universe with Microlocal Analysis (19w5238)

Number of Parts

Author

Tacy, Melissa

License

CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.

Identifiers

10.5446/60604 (DOI)

Publisher

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Release Date

2019

Language

English

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Subject Area

Mathematics Engineering

Genre

Workshop/Interactive Format Lecture

Abstract

The concentration properties of eigenfunctions of the Laplace-Beltrami operator are closely linked the the underlying geometry (and dynamics) on manifolds. It this talk I will discuss the known concentration results and the models we use to test sharpness. Such problems are effectively forward problems, I will also discuss what an inverse problem would look like in this setting.