A traditional viewpoint of a Hopf algebra H is that of an abstraction of a group algebra. In this setting, the antipode map S takes a group element g to its inverse, so it is reasonable to imagine that S is always involutive, with eigenvalues +/-1. This is not true in general (e.g., a small example due to E. Taft, has S of order 4). The involutive property does not even hold under the assumption that H is graded connected (e.g., if H is a Hopf algebra arising in combinatorics). Surprisingly, the eigenvalues +/-1 property does hold under this assumption. Our proof of this extends to any convolution power of the identity map. In this talk, I will give a quick sketch of this proof, then share results on eigenvalue Frobenius-Schur indicators. This is joint work with Marcelo Aguiar.