Fame

Fame
Fame is a statistic on your character summary page, in opposition to infamy, which is a measure of how well known your character is for performing heroic deeds and the like. Many quests, in particular the main story line, raise fame by a few points. For example, closing any oblivion gate gives your character 2 fame. The Fighter's Guild and Mage's Guild quests, as well as the Arena, also (presumably?) raise fame.