Symplectic mechanics of spinning particles in general relativity

Paul Ramond

I will provide an overview of the equations describing the motion of a small, compact, spinning object in some given background, in general relativity.
I will discuss their derivation, their physical interpretation, their well-posedness, and a formulation as a Hamiltonian system. The main point is to give up-to-date results and references on the matter, so as to encourage listeners to use and explore these simple equations that go beyond the classical geodesic motion around black holes.