Topology and Spectrum 

Isaac Newton showed, while sheltering from the plague, that sunlight can be decomposed into a continuous spectrum of colors, or frequencies. Much later, at the dawn of quantum theory, matrices were used to explore cases in which this decomposition leads to a discrete — as opposed to continuous — range of frequencies. The term “spectrum” was from that point onwards co-opted for mathematical use. All three lectures in this series will be about the relationship between this mathematical concept of spectrum in matrix theory and topics in geometry and topology.  The themes of the first lecture will be the spectrum of families of matrices, interactions with topology, and surprising applications to mechanical systems. 

https://math.dartmouth.edu/calendar/more.php?event_id=2554

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