  We study thermodynamic properties as well as the dynamical spin and
quadrupolar structure factors of the O(3)-symmetric spin-1 Heisenberg model
with bilinear-biquadratic exchange interactions on the triangular lattice.
Based on a sign-problem-free quantum Monte Carlo approach, we access both the
ferromagnetic and the ferroquadrupolar ordered, spin nematic phase as well as
the SU(3)-symmetric point which separates these phases. Signatures of Goldstone
soft-modes in the dynamical spin and the quadrupolar structure factors are
identified, and the properties of the low-energy excitations are compared to
the thermodynamic behavior observed at finite temperatures as well as to
Schwinger-boson flavor-wave theory.
