Approach the pillar with the flat ledge at the top. The gauntlet "tells" you that the pillar is movable, so push it around the circular platform with the desk and position it next to the broken column with the crevice at the top.

Climb on the column's narrow ledge and jump to grab the flat ledge of the movable pillar.

Pull up and jump to grab the crevice in the column, then climb to top of the broken column. Turn left. Jump on the beam of the next pillar and hang from it.

Traverse to the right and around the pillar.

Pull up on the second beam and jump to grab the handhold of the column that is hanging from the ceiling.

Traverse to the right and jump back to land on the ledge in front of the exit.