I remember a short story where talented teens had to choose between extended long life or a normal life span. They had to choose before a certain age and the procedure, once started, could not be reversed. The story was about a teen boy and teen girl, both music prodigies, who had to make the choice. The girl chose long life but the boy decided to turn it down, thus making his music immortal instead.
I think this is one of Sharon Webb's stories, later a book series.
When all the people of Earth become immortal through the Mouat-Gari process, Kurt Kraus, minister of World Culture, realizes that all creativity has died, and he must find a way to restore it.