I just bought a new computer monitor last night (a Viotek GN34C) and since then, the 15A AFCI breaker for my bedroom has gone off twice.
I doubt I'm drawing too much power, since only my PC, monitor, a ceiling lamp (two CFLs), small fan and phone charger are on the circuit. My rough calculations show that all of this could maybe draw up to 900 W. I'm also fairly certain the monitor is responsible for the issue as this never happened with my previous monitor which was a similar model. The trips happen at a seemingly random time, not when my PC is playing a game or anything power intensive.
Because of the way my apartment is laid out (student housing), it's not feasible to run the PC and monitor on another circuit.
One potential issue I could think of is that the monitor and PC are plugged into a power strip, not a surge protector. I never considered buying a surge protector because I live in an area without lightning, but if it could keep the breaker from tripping I will definitely buy one.