Spherical harmonics and a theorem of Weyl
Speaker: Benoit Charbonneau
Time: Wednesday, Feb 1, 4:00-5:00pm
Location: MC 5501
A friend once needed a very particular combination of spherical harmonics with very precise properties. The way physicists typically build these combinations is by knowing all the representation theory of SO(3), and combining in a very fancy way a very specific basis of the space of spherical harmonics. This approach is way too complicated in higher dimension, and a beautiful theorem of Weyl suffices. Pure math triumphs! I’ll tell you the story as it happened to me.