You'll want to browse the collections at Baikal Museum, Volkonsky House Museum, and Geological Museum. Irkutsk Academic Drama Theater, Irkutsk Regional Memorial Decembrists Museum, Trubetskoy House, and Irkutsk Regional Memorial Decembrists Museum, Volkonsky House are monuments to see when you're exploring the area around Kirov Square. You can watch performances at Cheremkhovo Drama Theater, Irkutsk Musical Theater, and Okhlopkov Drama Theater if you're interested in local theater.