Come find out what it is on this week's episode of GSS!
(Or if you don't mind spoilers...)
There is a single theorem of Gauss which he felt was worthy of being called his masterpiece, his Theorema Egregium. However, in its original formulation, the beauty of this theorem is hidden beneath a web of tensors and some creative algebra. Certainly, the statement of the theorem is simple "Gauss curvature is an intrinsic property of a surface," but what does that even mean? Why is this so surprising that Gauss saw fit to call it his greatest accomplishment? To answer these questions more clearly, we need an approach that is dramatically different from the standard: Cartan's method of moving frames. Come witness the power of moving frames as we try to cram an audacious amount of Riemannian Geometry into a 50-minute talk.
Gauss's Greatest Hit (or Another look at Gauss's Theorema Egregium)