Corinth is both a city and a symbol. It was, and is, a city at a crossroads in Greece and thus a trading center. It's strategic location at the isthmus put it in the thick of many military campaigns.
For Christians, it is a symbol. Paul's letters and the congregation they imply, have been powerful cultural symbols. Often this centers around Paul's attempt to explain why unlimited freedom is not a good thing.
Ancient Corinth had a reputation as a 'wild' city; how much of that is true vs. rumor, is unclear to me. It was a seaport town with a large number of transient people; that is often associated with flexible moral boundaries.
Near Corinth is the site of the Isthmain Games.
Corinth has extensive Roman era ruins and an pre-classical temple.
(The image, from 2009, shows the acrocorinth that rises to the southwest above the western end of the ruins. Most of the site is off to the left.)