The phrase "age of man" can be given a number of synonyms depending on the context in which you use it. It can be referred to as "anthropocene era" which is a geological term for the current era that is marked by human activities. It can also be called "human epoch", "human era", "era of civilization", or "era of technology". In some contexts, it can be seen as a time of rapid technological advancement, which can be referred to as "digital age", "information age", or "computer age". Whatever the synonym, it is important to remember that the age of man represents humanity's impact on the environment and the planet.