Just now, they are dying back for winter. They'll grow again next year, though. They're perennials.

Many thanks we are new to gardening so do we just cut them back or leave them to drop off?

They will die back naturally. No need to do anything.

P.S. Welcome to GoY! Enjoy your gardening.

Hi Parky! I would let the leaves die back naturally and then leave them on top of the plant to protect next years buds! Ok.

Again many thanks for the advice very helpful.

Welcome to GOY Parky....watch out for slugs in the spring, they love the new shoots of a hosta!