This year's Booker Prize winner is David Szalay's Flesh. There is information about the book, including a reading club guide, on the publisher's website. Clearly, it's literary fiction but book displays should rotate out to cover all aspects of your collection. There are ways you can leverage this news to market your collection both online and in your building.
David Szalay was interviewed on the Booker Prize website. Link to that on your social media if you decide to double up the display by using it both online and in your building.
The Goodreads page has a list of books that people who enjoyed Flesh also enjoyed. While these aren't as reliable as recommendations by a librarian, they can certainly be used for a display. There is also a list of authors that readers have also enjoyed.
If your library subscribes to NoveList, you can use that to find readalikes by title or author as well. The appeal factors listed there can also help you find titles in your collection. Check your collection and use what you have. Putting literary fiction titles that need some love faced out and in the spotlight will help circulate them.
This NPR article has more information about the award, who else was nominated, and who the judges were. All of that information can be used to see what is in your collection and you can create a display. Use their books that you have in your collection and add a simple sign that has information about the Booker Prize. Pull out previous long list, short list, and winners to complete the display and to fill it in as needed.
Truthfully, you can always put up a sign about the awards with a list of the long list, short list, and winner. Add a QR code to any titles you have in your eBook collection. Then fill in the display with literary fiction titles that need some attention. It doesn't need to be a complicated research project. If you want to be more specific, you can read a plot summary and some reviews to find more exact matches but it's not necessary. The face outs will do the work for you.