In this short note, we review some recent progress in understanding the 1-loop corrections to the
Gibbons-Hawking entropy, which amounts to studying free fields on the de Sitter static patch and
the round sphere. After briefly surveying the unitary irreducible representations of the de Sitter
group SO(1,d+1) and their Harish-Chandra characters, we discuss the Lorentzian interpretation
for the 1-loop sphere path integral for a scalar. After that we comment on how the results are
modified by edge contributions for spinning fields.
