Microformats are little bits of markup you can add to HTML to let search engines and other technology know what the text represents. This can allow systems to understand a little of the social graph expressed in the connections (links) between pages.
Microformats (μF) are a set of defined HTML classes created to serve as consistent and descriptive metadata about an element, designating it as representing a certain type of data (such as contact information, geographic coordinates, events, blog posts, products, recipes, etc.). They allow software to process the information reliably by having set classes refer to a specific type of data rather than being arbitrary. Microformats emerged around 2005 and were predominantly designed for use by search engines, web syndication and aggregators such as RSS.
Microformat, Wikipedia
Matt says:
Semantic Linkbacks is a plugin available on isBrill.com and for WordPress.org that adds microformats to content, and syntactically meaningful information to Webmentions. In short, it makes Indie Web stuff better.