A strange repeating pattern in the symmetries of circles, spheres and higher dimensional spheres called Bott periodicity.
We will learn about symmetries of spheres, homotopy groups, the orthogonal groups and, finally, Bott periodicity.
Produced by Connect films www.connectfilms.com.au/
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00:00 Introduction
00:57 Symmetries of Spheres
04:17 Homotopy Groups
09:28 Loops of Symmetries
11:23 Bott periodicity
13:53 Summary