R. Levene

will speak on

Spectral arbitrariness for trees fails spectacularly

Time: 3:00PM
Date: Tue 4th April 2023
Location: Seminar Room SCN 1.25 [map]

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Abstract: Given a graph G, consider the spectra of the real symmetric
matrices which realize G, in the sense that the pattern of their non-zero off-diagonal entries corresponds to the edges of G. We identify a family of graphs and multiplicity lists whose realizable spectra are highly restricted. In particular, we find trees with multiplicity lists that require a unique spectrum, up to shifting and scaling, representing the most extreme possible failure of spectral arbitrariness.

This is joint work with Shaun Fallat, Tracy Hall, Seth Meyer, Shahla Nasserasr, Polona Oblak and Helena Šmigoc.

https://ucd-ie.zoom.us/j/65537948988

(This talk is part of the Analysis series.)

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