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Just uploaded a video on the Laplacian:

If you've heard of the Laplacian and always wondered what it was, or feel like you don't have great intuition for what it means, take a look—we explore how the Laplacian shows up in geometry, physics, & computation.
This video is part of a series of lectures on #DiscreteDifferentialGeometry from Carnegie Mellon University @SCSatCMU.

You can find the playlist here: youtube.com/playlist?list=…

The course webpage, including notes & exercises can be found here:
geometry.cs.cmu.edu/ddg
This lecture grew from a course at the terrific Symposium on Geometry Processing graduate school @GeometryProcess. You can find the whole list of videos here: school.geometryprocessing.org
The original lecture was developed by myself, Etienne Vouga, and @JustinMSolomon. Etienne gives a version of the lecture here, which discusses more about the discrete case:
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