That would be Library! In Icelandic, if you couldn’t guess that part of it. Another one of the Things I like to check out when I travel. Not that I make a Huge Point of it, but I definitely keep my eye out for them and go in when I can. The Reykjavík Central Library happened to be just on the next corner from one of the branches of the Art Museum, so I popped in. It was a nice space, with some cool art, gathering spaces, and some books in English.
Hafnarfjörður also had a very nice looking library, although I didn’t make it there during opening hours and so just had to look longingly and wistfully through the windows. I was able to quite enjoy the great mosaic mural on one of the outside walls though!