Final answer:
We are currently living in the Quaternary period of the Cenozoic Era, which is the current geologic era.
Step-by-step explanation:
The current geologic era is the Cenozoic Era.
The Cenozoic Era is known as the "age of mammals" and began approximately 65 million years ago and continues to the present day. It is characterized by the abundant animal life that exists today. The Cenozoic Era is further divided into three periods: the Paleogene, the Neogene, and the Quaternary.
Quaternary is the most recent of these periods and spans from around 2.588 million years ago to the present. This period is marked by the presence of modern human beings and the Ice Ages.
Therefore, we are currently living in the Quaternary period of the Cenozoic Era.