Hello. I hope your character is not alone in Yliakum. So if your character wants to learn professions there, your character should talk to others there. Often you may meet only few others, and they may be busy; but during the weekends are the best chances to meet other characters especially near Harnquist's forge in Hydlaa. In the meantime, take your time to discover all the quarters of this town, and talk to most of the citizen. This will include the arena you can find at the end of the tunnel of the Old Quarry Road behind the forge, and the East quarter with library and market place, and a nice fountain in between...
Unfortunately, sometimes the merchants teaching your preferred profession may go for a walk through the town as well, so your character will have to visit different locations at different daytimes, to talk with as many citizen as there are.