[Warning, non-book post coming up.]
It's all about men's figure skating, and at this point I'm hoping the writer is going for a story in which Yuri not only learns to be confident in himself as a skater, but also finally realizes he's in love with famous figure skater Victor Nikiforov, his current coach. Like, love-love, not just hero worship or professional admiration. Literally all of Yuri's performances so far (7 episodes) have been great big love letters to Victor.
I really wish there were a manga version I could binge-read, but alas, this appears to be an original production.