If you’re after a show while in the center of Poltava, you might want to get tickets at Gogol's Theater. If you want to experience more of the culture Poltava has to offer, head to Round Square, The White Arbor, and Monument of Fame.
The White Arbor is just one of the landmarks located 0.8 mi (1.2 km) from central Poltava, so you might want to stop by for a few pics during your trip.