You can display your interest by asking him or her some questions about the topics or subjects he or she likes to talk about.
It's a already a common perception that most singles really try show what they've got or "put their best foot forward" especially in the early stages of the relationship.
Respectfully present your own point of views if your date has his or her own views that you disagree with.
Avoid accepting immediately what your date has to say as the correct information or fact just because you know that he or she is an intellectual person.
You can also go somewhere else in a nice setting that either of you has never been before so that you can comment about it as well as share in the new experience that can create a place to start for a good conversation.
Start to ask some questions about your date that can stimulate and spark his or her senses.