B737 Undifferentiated or Other Model
Flight Crew Air Transport Pilot (ATP)
Flight Crew Type 2164
Aircraft Equipment Problem Less Severe
Flight Crew Diverted; Flight Crew FLC complied w / Automation / Advisory; Flight Crew Landed As Precaution
Aircraft
While in the climb out at approximately 28400; the autopilot disengaged while simultaneously the Captain's PFD and MFD lost all indications. I transferred control of the aircraft to the FO. We stopped the climb and descended out of RVSM. The amber; IRS fault light along with the Master Caution; IRS; lights had illuminated. I ran the corresponding QRH checklist for the IRS fault. We operated with the IRS selector switch in BOTH ON RIGHT. I established a radio patch with dispatch and a subsequent conference call with maintenance. We discussed what had happened and the possibility of diverting. I ruled that with the loss of redundant attitude; airspeed; and altitude indications; the continuation did not seem like the best plan of action.  We [advised ATC] and diverted. The landing was uneventful and normal.
B737 Captain reported losing his primary flight display and IRS. He transferred control of the aircraft to the First Officer and diverted resulting in an uneventful landing.