What triggers programmed cell death in humans (from outside the cell)?
The answer is, in part, it depends. Let's think of the PI3K/AKT pathway. Akt actively phosphorylates BAD which abrogates the Bax/Bak apoptosis pathway. RTK's at the plasma membrane activate this pathway when bound with survival factors. In the absence of survival factors, Akt would become dephosphorylated and you'd have a net movement toward apoptosis. In a particular form of cell death called anoikis, this could be as simple as detaching from the extracellular matrix. So anything that halts the binding of survival factors could play a role.

In the case of immune response, activated Tc cells can induce apoptosis by secreting pore-forming enzymes as well as enzymes that directly activate caspases. The Tc cells also express Fas on their membrance which is involved in the extrinsic apoptosis pathway. TNF (tumor necrosis factor) may also bind cell surface receptors as sort of a death factor, and push towards apoptosis.

These are just examples, some generic searches about apoptosis, necroptosis, entosis, and a myriad of other programmed death mechanisms will yield a very comprehensive overview.