  We give a proof of the Erd\H{o}s-Ko-Rado Theorem using the Borel Fixed Point
Theorem from algebraic group theory. This perspective gives a strong analogy
between the Erd\H{o}s-Ko-Rado Theorem and (generalizations of) the Gerstenhaber
Theorem on spaces of nilpotent matrices.

Combinatorics;Group Theory